Finding the Third Proportional to 82,502.50 and 128,681.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,502.50 : 128,681.25 = 128,681.25 : x
2. Step 2: Convert to fraction form
   82,502.50/128,681.25 = 128,681.25/x
3. Step 3: Cross multiply
   82,502.50x = 128,681.25 × 128,681.25
4. Step 4: Simplify right side
   82,502.50x = 16,558,864,101.56
5. Step 5: Solve for x
   x = 16,558,864,101.56/82,502.50
6. Step 6: Final answer
   x = 200,707.42