Finding the Third Proportional to 111,396 and 172,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,396 : 172,372.50 = 172,372.50 : x
2. Step 2: Convert to fraction form
   111,396/172,372.50 = 172,372.50/x
3. Step 3: Cross multiply
   111,396x = 172,372.50 × 172,372.50
4. Step 4: Simplify right side
   111,396x = 29,712,278,756.25
5. Step 5: Solve for x
   x = 29,712,278,756.25/111,396
6. Step 6: Final answer
   x = 266,726.62