Finding the Third Proportional to 71,109,637,563 and 102,741,146,490

Step by Step Solution

1. Step 1: Write the proportion equation
   71,109,637,563 : 102,741,146,490 = 102,741,146,490 : x
2. Step 2: Convert to fraction form
   71,109,637,563/102,741,146,490 = 102,741,146,490/x
3. Step 3: Cross multiply
   71,109,637,563x = 102,741,146,490 × 102,741,146,490
4. Step 4: Simplify right side
   71,109,637,563x = 10,555,743,182,079,639,158,784
5. Step 5: Solve for x
   x = 10,555,743,182,079,639,158,784/71,109,637,563
6. Step 6: Final answer
   x = 148,443,214,504.19