Finding the Third Proportional to 82,638 and 169,632

Step by Step Solution

1. Step 1: Write the proportion equation
   82,638 : 169,632 = 169,632 : x
2. Step 2: Convert to fraction form
   82,638/169,632 = 169,632/x
3. Step 3: Cross multiply
   82,638x = 169,632 × 169,632
4. Step 4: Simplify right side
   82,638x = 28,775,015,424
5. Step 5: Solve for x
   x = 28,775,015,424/82,638
6. Step 6: Final answer
   x = 348,205.61