Finding the Third Proportional to 108,092 and 172,676

Step by Step Solution

1. Step 1: Write the proportion equation
   108,092 : 172,676 = 172,676 : x
2. Step 2: Convert to fraction form
   108,092/172,676 = 172,676/x
3. Step 3: Cross multiply
   108,092x = 172,676 × 172,676
4. Step 4: Simplify right side
   108,092x = 29,817,000,976
5. Step 5: Solve for x
   x = 29,817,000,976/108,092
6. Step 6: Final answer
   x = 275,848.36