Finding the Third Proportional to 83,382 and 172,596

Step by Step Solution

1. Step 1: Write the proportion equation
   83,382 : 172,596 = 172,596 : x
2. Step 2: Convert to fraction form
   83,382/172,596 = 172,596/x
3. Step 3: Cross multiply
   83,382x = 172,596 × 172,596
4. Step 4: Simplify right side
   83,382x = 29,789,379,216
5. Step 5: Solve for x
   x = 29,789,379,216/83,382
6. Step 6: Final answer
   x = 357,263.91