Finding the Third Proportional to 83,530 and 129,538

Step by Step Solution

1. Step 1: Write the proportion equation
   83,530 : 129,538 = 129,538 : x
2. Step 2: Convert to fraction form
   83,530/129,538 = 129,538/x
3. Step 3: Cross multiply
   83,530x = 129,538 × 129,538
4. Step 4: Simplify right side
   83,530x = 16,780,093,444
5. Step 5: Solve for x
   x = 16,780,093,444/83,530
6. Step 6: Final answer
   x = 200,887.03