Finding the Third Proportional to 387,878,178,380 and 906,258,442,548

Step by Step Solution

1. Step 1: Write the proportion equation
   387,878,178,380 : 906,258,442,548 = 906,258,442,548 : x
2. Step 2: Convert to fraction form
   387,878,178,380/906,258,442,548 = 906,258,442,548/x
3. Step 3: Cross multiply
   387,878,178,380x = 906,258,442,548 × 906,258,442,548
4. Step 4: Simplify right side
   387,878,178,380x = 821,304,364,689,526,664,200,192
5. Step 5: Solve for x
   x = 821,304,364,689,526,664,200,192/387,878,178,380
6. Step 6: Final answer
   x = 2,117,428,642,466.46