Finding the Third Proportional to 111,123 and 172,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,123 : 172,111.50 = 172,111.50 : x
2. Step 2: Convert to fraction form
   111,123/172,111.50 = 172,111.50/x
3. Step 3: Cross multiply
   111,123x = 172,111.50 × 172,111.50
4. Step 4: Simplify right side
   111,123x = 29,622,368,432.25
5. Step 5: Solve for x
   x = 29,622,368,432.25/111,123
6. Step 6: Final answer
   x = 266,572.79