Finding the Third Proportional to 82,331 and 171,123

Step by Step Solution

1. Step 1: Write the proportion equation
   82,331 : 171,123 = 171,123 : x
2. Step 2: Convert to fraction form
   82,331/171,123 = 171,123/x
3. Step 3: Cross multiply
   82,331x = 171,123 × 171,123
4. Step 4: Simplify right side
   82,331x = 29,283,081,129
5. Step 5: Solve for x
   x = 29,283,081,129/82,331
6. Step 6: Final answer
   x = 355,675.03