Finding the Third Proportional to 116,285.50 and 157,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,285.50 : 157,816.50 = 157,816.50 : x
2. Step 2: Convert to fraction form
   116,285.50/157,816.50 = 157,816.50/x
3. Step 3: Cross multiply
   116,285.50x = 157,816.50 × 157,816.50
4. Step 4: Simplify right side
   116,285.50x = 24,906,047,672.25
5. Step 5: Solve for x
   x = 24,906,047,672.25/116,285.50
6. Step 6: Final answer
   x = 214,180.17