Finding the Third Proportional to 387,878,179,144 and 906,258,443,968

Step by Step Solution

1. Step 1: Write the proportion equation
   387,878,179,144 : 906,258,443,968 = 906,258,443,968 : x
2. Step 2: Convert to fraction form
   387,878,179,144/906,258,443,968 = 906,258,443,968/x
3. Step 3: Cross multiply
   387,878,179,144x = 906,258,443,968 × 906,258,443,968
4. Step 4: Simplify right side
   387,878,179,144x = 821,304,367,263,300,580,278,272
5. Step 5: Solve for x
   x = 821,304,367,263,300,580,278,272/387,878,179,144
6. Step 6: Final answer
   x = 2,117,428,644,931.30