Finding the Third Proportional to 82,086.75 and 123,720.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,086.75 : 123,720.75 = 123,720.75 : x
2. Step 2: Convert to fraction form
   82,086.75/123,720.75 = 123,720.75/x
3. Step 3: Cross multiply
   82,086.75x = 123,720.75 × 123,720.75
4. Step 4: Simplify right side
   82,086.75x = 15,306,823,980.56
5. Step 5: Solve for x
   x = 15,306,823,980.56/82,086.75
6. Step 6: Final answer
   x = 186,471.31