Finding the Third Proportional to 111,223 and 172,365

Step by Step Solution

1. Step 1: Write the proportion equation
   111,223 : 172,365 = 172,365 : x
2. Step 2: Convert to fraction form
   111,223/172,365 = 172,365/x
3. Step 3: Cross multiply
   111,223x = 172,365 × 172,365
4. Step 4: Simplify right side
   111,223x = 29,709,693,225
5. Step 5: Solve for x
   x = 29,709,693,225/111,223
6. Step 6: Final answer
   x = 267,118.25