Finding the Third Proportional to 83,612 and 169,384

Step by Step Solution

1. Step 1: Write the proportion equation
   83,612 : 169,384 = 169,384 : x
2. Step 2: Convert to fraction form
   83,612/169,384 = 169,384/x
3. Step 3: Cross multiply
   83,612x = 169,384 × 169,384
4. Step 4: Simplify right side
   83,612x = 28,690,939,456
5. Step 5: Solve for x
   x = 28,690,939,456/83,612
6. Step 6: Final answer
   x = 343,143.80