Finding the Third Proportional to 102,861 and 155,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,861 : 155,389.50 = 155,389.50 : x
2. Step 2: Convert to fraction form
   102,861/155,389.50 = 155,389.50/x
3. Step 3: Cross multiply
   102,861x = 155,389.50 × 155,389.50
4. Step 4: Simplify right side
   102,861x = 24,145,896,710.25
5. Step 5: Solve for x
   x = 24,145,896,710.25/102,861
6. Step 6: Final answer
   x = 234,742.97