Finding the Third Proportional to 82,471.50 and 128,631.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,471.50 : 128,631.38 = 128,631.38 : x
2. Step 2: Convert to fraction form
   82,471.50/128,631.38 = 128,631.38/x
3. Step 3: Cross multiply
   82,471.50x = 128,631.38 × 128,631.38
4. Step 4: Simplify right side
   82,471.50x = 16,546,030,634.39
5. Step 5: Solve for x
   x = 16,546,030,634.39/82,471.50
6. Step 6: Final answer
   x = 200,627.25