Finding the Third Proportional to 71,109,637,564 and 102,741,146,492

Step by Step Solution

1. Step 1: Write the proportion equation
   71,109,637,564 : 102,741,146,492 = 102,741,146,492 : x
2. Step 2: Convert to fraction form
   71,109,637,564/102,741,146,492 = 102,741,146,492/x
3. Step 3: Cross multiply
   71,109,637,564x = 102,741,146,492 × 102,741,146,492
4. Step 4: Simplify right side
   71,109,637,564x = 10,555,743,182,490,603,356,160
5. Step 5: Solve for x
   x = 10,555,743,182,490,603,356,160/71,109,637,564
6. Step 6: Final answer
   x = 148,443,214,507.88