Finding the Third Proportional to 34,434,806,091,253 and 75,888,522,270,788

Step by Step Solution

1. Step 1: Write the proportion equation
   34,434,806,091,253 : 75,888,522,270,788 = 75,888,522,270,788 : x
2. Step 2: Convert to fraction form
   34,434,806,091,253/75,888,522,270,788 = 75,888,522,270,788/x
3. Step 3: Cross multiply
   34,434,806,091,253x = 75,888,522,270,788 × 75,888,522,270,788
4. Step 4: Simplify right side
   34,434,806,091,253x = 5,759,067,812,443,886,755,195,650,048
5. Step 5: Solve for x
   x = 5,759,067,812,443,886,755,195,650,048/34,434,806,091,253
6. Step 6: Final answer
   x = 167,245,542,117,537.41