Finding the Third Proportional to 82,329 and 171,117

Step by Step Solution

1. Step 1: Write the proportion equation
   82,329 : 171,117 = 171,117 : x
2. Step 2: Convert to fraction form
   82,329/171,117 = 171,117/x
3. Step 3: Cross multiply
   82,329x = 171,117 × 171,117
4. Step 4: Simplify right side
   82,329x = 29,281,027,689
5. Step 5: Solve for x
   x = 29,281,027,689/82,329
6. Step 6: Final answer
   x = 355,658.73