Finding the Third Proportional to 82,606 and 172,327

Step by Step Solution

1. Step 1: Write the proportion equation
   82,606 : 172,327 = 172,327 : x
2. Step 2: Convert to fraction form
   82,606/172,327 = 172,327/x
3. Step 3: Cross multiply
   82,606x = 172,327 × 172,327
4. Step 4: Simplify right side
   82,606x = 29,696,594,929
5. Step 5: Solve for x
   x = 29,696,594,929/82,606
6. Step 6: Final answer
   x = 359,496.83