Finding the Third Proportional to 104,561 and 157,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,561 : 157,077.50 = 157,077.50 : x
2. Step 2: Convert to fraction form
   104,561/157,077.50 = 157,077.50/x
3. Step 3: Cross multiply
   104,561x = 157,077.50 × 157,077.50
4. Step 4: Simplify right side
   104,561x = 24,673,341,006.25
5. Step 5: Solve for x
   x = 24,673,341,006.25/104,561
6. Step 6: Final answer
   x = 235,970.78