Finding the Third Proportional to 111,092 and 172,066

Step by Step Solution

1. Step 1: Write the proportion equation
   111,092 : 172,066 = 172,066 : x
2. Step 2: Convert to fraction form
   111,092/172,066 = 172,066/x
3. Step 3: Cross multiply
   111,092x = 172,066 × 172,066
4. Step 4: Simplify right side
   111,092x = 29,606,708,356
5. Step 5: Solve for x
   x = 29,606,708,356/111,092
6. Step 6: Final answer
   x = 266,506.21