Finding the Third Proportional to 83,644 and 129,650

Step by Step Solution

1. Step 1: Write the proportion equation
   83,644 : 129,650 = 129,650 : x
2. Step 2: Convert to fraction form
   83,644/129,650 = 129,650/x
3. Step 3: Cross multiply
   83,644x = 129,650 × 129,650
4. Step 4: Simplify right side
   83,644x = 16,809,122,500
5. Step 5: Solve for x
   x = 16,809,122,500/83,644
6. Step 6: Final answer
   x = 200,960.29