Finding the Third Proportional to 83,568 and 129,461

Step by Step Solution

1. Step 1: Write the proportion equation
   83,568 : 129,461 = 129,461 : x
2. Step 2: Convert to fraction form
   83,568/129,461 = 129,461/x
3. Step 3: Cross multiply
   83,568x = 129,461 × 129,461
4. Step 4: Simplify right side
   83,568x = 16,760,150,521
5. Step 5: Solve for x
   x = 16,760,150,521/83,568
6. Step 6: Final answer
   x = 200,557.04