Finding the Third Proportional to 83,128.13 and 128,980.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,128.13 : 128,980.69 = 128,980.69 : x
2. Step 2: Convert to fraction form
   83,128.13/128,980.69 = 128,980.69/x
3. Step 3: Cross multiply
   83,128.13x = 128,980.69 × 128,980.69
4. Step 4: Simplify right side
   83,128.13x = 16,636,017,747.97
5. Step 5: Solve for x
   x = 16,636,017,747.97/83,128.13
6. Step 6: Final answer
   x = 200,125.02