Finding the Third Proportional to 82,643 and 169,642

Step by Step Solution

1. Step 1: Write the proportion equation
   82,643 : 169,642 = 169,642 : x
2. Step 2: Convert to fraction form
   82,643/169,642 = 169,642/x
3. Step 3: Cross multiply
   82,643x = 169,642 × 169,642
4. Step 4: Simplify right side
   82,643x = 28,778,408,164
5. Step 5: Solve for x
   x = 28,778,408,164/82,643
6. Step 6: Final answer
   x = 348,225.60