Finding the Third Proportional to 82,540.27 and 123,992.65

Step by Step Solution

1. Step 1: Write the proportion equation
   82,540.27 : 123,992.65 = 123,992.65 : x
2. Step 2: Convert to fraction form
   82,540.27/123,992.65 = 123,992.65/x
3. Step 3: Cross multiply
   82,540.27x = 123,992.65 × 123,992.65
4. Step 4: Simplify right side
   82,540.27x = 15,374,176,866.55
5. Step 5: Solve for x
   x = 15,374,176,866.55/82,540.27
6. Step 6: Final answer
   x = 186,262.75