Finding the Third Proportional to 81,458 and 172,564

Step by Step Solution

1. Step 1: Write the proportion equation
   81,458 : 172,564 = 172,564 : x
2. Step 2: Convert to fraction form
   81,458/172,564 = 172,564/x
3. Step 3: Cross multiply
   81,458x = 172,564 × 172,564
4. Step 4: Simplify right side
   81,458x = 29,778,334,096
5. Step 5: Solve for x
   x = 29,778,334,096/81,458
6. Step 6: Final answer
   x = 365,566.72