Finding the Third Proportional to 107,280 and 157,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,280 : 157,585.50 = 157,585.50 : x
2. Step 2: Convert to fraction form
   107,280/157,585.50 = 157,585.50/x
3. Step 3: Cross multiply
   107,280x = 157,585.50 × 157,585.50
4. Step 4: Simplify right side
   107,280x = 24,833,189,810.25
5. Step 5: Solve for x
   x = 24,833,189,810.25/107,280
6. Step 6: Final answer
   x = 231,480.14