Finding the Third Proportional to 82,256 and 123,992

Step by Step Solution

1. Step 1: Write the proportion equation
   82,256 : 123,992 = 123,992 : x
2. Step 2: Convert to fraction form
   82,256/123,992 = 123,992/x
3. Step 3: Cross multiply
   82,256x = 123,992 × 123,992
4. Step 4: Simplify right side
   82,256x = 15,374,016,064
5. Step 5: Solve for x
   x = 15,374,016,064/82,256
6. Step 6: Final answer
   x = 186,904.49