Finding the Third Proportional to 111,657 and 151,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,657 : 151,624.50 = 151,624.50 : x
2. Step 2: Convert to fraction form
   111,657/151,624.50 = 151,624.50/x
3. Step 3: Cross multiply
   111,657x = 151,624.50 × 151,624.50
4. Step 4: Simplify right side
   111,657x = 22,989,989,000.25
5. Step 5: Solve for x
   x = 22,989,989,000.25/111,657
6. Step 6: Final answer
   x = 205,898.32