Finding the Third Proportional to 82,969 and 128,685

Step by Step Solution

1. Step 1: Write the proportion equation
   82,969 : 128,685 = 128,685 : x
2. Step 2: Convert to fraction form
   82,969/128,685 = 128,685/x
3. Step 3: Cross multiply
   82,969x = 128,685 × 128,685
4. Step 4: Simplify right side
   82,969x = 16,559,829,225
5. Step 5: Solve for x
   x = 16,559,829,225/82,969
6. Step 6: Final answer
   x = 199,590.56