Finding the Third Proportional to 111,387 and 172,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,387 : 172,558.50 = 172,558.50 : x
2. Step 2: Convert to fraction form
   111,387/172,558.50 = 172,558.50/x
3. Step 3: Cross multiply
   111,387x = 172,558.50 × 172,558.50
4. Step 4: Simplify right side
   111,387x = 29,776,435,922.25
5. Step 5: Solve for x
   x = 29,776,435,922.25/111,387
6. Step 6: Final answer
   x = 267,324.16