Finding the Third Proportional to 54,902 and 114,570

Step by Step Solution

1. Step 1: Write the proportion equation
   54,902 : 114,570 = 114,570 : x
2. Step 2: Convert to fraction form
   54,902/114,570 = 114,570/x
3. Step 3: Cross multiply
   54,902x = 114,570 × 114,570
4. Step 4: Simplify right side
   54,902x = 13,126,284,900
5. Step 5: Solve for x
   x = 13,126,284,900/54,902
6. Step 6: Final answer
   x = 239,085.73