Finding the Third Proportional to 82,650 and 169,654

Step by Step Solution

1. Step 1: Write the proportion equation
   82,650 : 169,654 = 169,654 : x
2. Step 2: Convert to fraction form
   82,650/169,654 = 169,654/x
3. Step 3: Cross multiply
   82,650x = 169,654 × 169,654
4. Step 4: Simplify right side
   82,650x = 28,782,479,716
5. Step 5: Solve for x
   x = 28,782,479,716/82,650
6. Step 6: Final answer
   x = 348,245.37