Finding the Third Proportional to 81,902 and 172,550

Step by Step Solution

1. Step 1: Write the proportion equation
   81,902 : 172,550 = 172,550 : x
2. Step 2: Convert to fraction form
   81,902/172,550 = 172,550/x
3. Step 3: Cross multiply
   81,902x = 172,550 × 172,550
4. Step 4: Simplify right side
   81,902x = 29,773,502,500
5. Step 5: Solve for x
   x = 29,773,502,500/81,902
6. Step 6: Final answer
   x = 363,525.95