Finding the Third Proportional to 82,644 and 169,644

Step by Step Solution

1. Step 1: Write the proportion equation
   82,644 : 169,644 = 169,644 : x
2. Step 2: Convert to fraction form
   82,644/169,644 = 169,644/x
3. Step 3: Cross multiply
   82,644x = 169,644 × 169,644
4. Step 4: Simplify right side
   82,644x = 28,779,086,736
5. Step 5: Solve for x
   x = 28,779,086,736/82,644
6. Step 6: Final answer
   x = 348,229.60