Finding the Third Proportional to 111,112 and 172,092

Step by Step Solution

1. Step 1: Write the proportion equation
   111,112 : 172,092 = 172,092 : x
2. Step 2: Convert to fraction form
   111,112/172,092 = 172,092/x
3. Step 3: Cross multiply
   111,112x = 172,092 × 172,092
4. Step 4: Simplify right side
   111,112x = 29,615,656,464
5. Step 5: Solve for x
   x = 29,615,656,464/111,112
6. Step 6: Final answer
   x = 266,538.78