Finding the Third Proportional to 58,256 and 124,142

Step by Step Solution

1. Step 1: Write the proportion equation
   58,256 : 124,142 = 124,142 : x
2. Step 2: Convert to fraction form
   58,256/124,142 = 124,142/x
3. Step 3: Cross multiply
   58,256x = 124,142 × 124,142
4. Step 4: Simplify right side
   58,256x = 15,411,236,164
5. Step 5: Solve for x
   x = 15,411,236,164/58,256
6. Step 6: Final answer
   x = 264,543.33