Finding the Third Proportional to 82,507.50 and 128,692.13

Step by Step Solution

1. Step 1: Write the proportion equation
   82,507.50 : 128,692.13 = 128,692.13 : x
2. Step 2: Convert to fraction form
   82,507.50/128,692.13 = 128,692.13/x
3. Step 3: Cross multiply
   82,507.50x = 128,692.13 × 128,692.13
4. Step 4: Simplify right side
   82,507.50x = 16,561,663,037.02
5. Step 5: Solve for x
   x = 16,561,663,037.02/82,507.50
6. Step 6: Final answer
   x = 200,729.18