Finding the Third Proportional to 83,227.50 and 128,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227.50 : 128,725.50 = 128,725.50 : x
2. Step 2: Convert to fraction form
   83,227.50/128,725.50 = 128,725.50/x
3. Step 3: Cross multiply
   83,227.50x = 128,725.50 × 128,725.50
4. Step 4: Simplify right side
   83,227.50x = 16,570,254,350.25
5. Step 5: Solve for x
   x = 16,570,254,350.25/83,227.50
6. Step 6: Final answer
   x = 199,095.90