Finding the Third Proportional to 82,785 and 128,156

Step by Step Solution

1. Step 1: Write the proportion equation
   82,785 : 128,156 = 128,156 : x
2. Step 2: Convert to fraction form
   82,785/128,156 = 128,156/x
3. Step 3: Cross multiply
   82,785x = 128,156 × 128,156
4. Step 4: Simplify right side
   82,785x = 16,423,960,336
5. Step 5: Solve for x
   x = 16,423,960,336/82,785
6. Step 6: Final answer
   x = 198,392.95