Finding the Third Proportional to 102,157,173,306 and 238,685,261,085

Step by Step Solution

1. Step 1: Write the proportion equation
   102,157,173,306 : 238,685,261,085 = 238,685,261,085 : x
2. Step 2: Convert to fraction form
   102,157,173,306/238,685,261,085 = 238,685,261,085/x
3. Step 3: Cross multiply
   102,157,173,306x = 238,685,261,085 × 238,685,261,085
4. Step 4: Simplify right side
   102,157,173,306x = 56,970,653,859,214,612,496,384
5. Step 5: Solve for x
   x = 56,970,653,859,214,612,496,384/102,157,173,306
6. Step 6: Final answer
   x = 557,676,490,211.47