Finding the Third Proportional to 83,497.50 and 128,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,497.50 : 128,002.50 = 128,002.50 : x
2. Step 2: Convert to fraction form
   83,497.50/128,002.50 = 128,002.50/x
3. Step 3: Cross multiply
   83,497.50x = 128,002.50 × 128,002.50
4. Step 4: Simplify right side
   83,497.50x = 16,384,640,006.25
5. Step 5: Solve for x
   x = 16,384,640,006.25/83,497.50
6. Step 6: Final answer
   x = 196,229.11