Finding the Third Proportional to 111,312 and 172,287

Step by Step Solution

1. Step 1: Write the proportion equation
   111,312 : 172,287 = 172,287 : x
2. Step 2: Convert to fraction form
   111,312/172,287 = 172,287/x
3. Step 3: Cross multiply
   111,312x = 172,287 × 172,287
4. Step 4: Simplify right side
   111,312x = 29,682,810,369
5. Step 5: Solve for x
   x = 29,682,810,369/111,312
6. Step 6: Final answer
   x = 266,663.17