Finding the Third Proportional to 34,434,806,091,258 and 75,888,522,270,798

Step by Step Solution

1. Step 1: Write the proportion equation
   34,434,806,091,258 : 75,888,522,270,798 = 75,888,522,270,798 : x
2. Step 2: Convert to fraction form
   34,434,806,091,258/75,888,522,270,798 = 75,888,522,270,798/x
3. Step 3: Cross multiply
   34,434,806,091,258x = 75,888,522,270,798 × 75,888,522,270,798
4. Step 4: Simplify right side
   34,434,806,091,258x = 5,759,067,812,445,404,081,241,980,928
5. Step 5: Solve for x
   x = 5,759,067,812,445,404,081,241,980,928/34,434,806,091,258
6. Step 6: Final answer
   x = 167,245,542,117,557.16