Finding the Third Proportional to 83,265.75 and 128,877.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,265.75 : 128,877.38 = 128,877.38 : x
2. Step 2: Convert to fraction form
   83,265.75/128,877.38 = 128,877.38/x
3. Step 3: Cross multiply
   83,265.75x = 128,877.38 × 128,877.38
4. Step 4: Simplify right side
   83,265.75x = 16,609,377,786.89
5. Step 5: Solve for x
   x = 16,609,377,786.89/83,265.75
6. Step 6: Final answer
   x = 199,474.31