Finding the Third Proportional to 82,191.75 and 123,760.13

Step by Step Solution

1. Step 1: Write the proportion equation
   82,191.75 : 123,760.13 = 123,760.13 : x
2. Step 2: Convert to fraction form
   82,191.75/123,760.13 = 123,760.13/x
3. Step 3: Cross multiply
   82,191.75x = 123,760.13 × 123,760.13
4. Step 4: Simplify right side
   82,191.75x = 15,316,568,540.02
5. Step 5: Solve for x
   x = 15,316,568,540.02/82,191.75
6. Step 6: Final answer
   x = 186,351.65