Finding the Third Proportional to 111,114 and 172,314

Step by Step Solution

1. Step 1: Write the proportion equation
   111,114 : 172,314 = 172,314 : x
2. Step 2: Convert to fraction form
   111,114/172,314 = 172,314/x
3. Step 3: Cross multiply
   111,114x = 172,314 × 172,314
4. Step 4: Simplify right side
   111,114x = 29,692,114,596
5. Step 5: Solve for x
   x = 29,692,114,596/111,114
6. Step 6: Final answer
   x = 267,222.08