Finding the Third Proportional to 111,291 and 172,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,291 : 172,552.50 = 172,552.50 : x
2. Step 2: Convert to fraction form
   111,291/172,552.50 = 172,552.50/x
3. Step 3: Cross multiply
   111,291x = 172,552.50 × 172,552.50
4. Step 4: Simplify right side
   111,291x = 29,774,365,256.25
5. Step 5: Solve for x
   x = 29,774,365,256.25/111,291
6. Step 6: Final answer
   x = 267,536.15