Finding the Third Proportional to 55,418 and 114,780

Step by Step Solution

1. Step 1: Write the proportion equation
   55,418 : 114,780 = 114,780 : x
2. Step 2: Convert to fraction form
   55,418/114,780 = 114,780/x
3. Step 3: Cross multiply
   55,418x = 114,780 × 114,780
4. Step 4: Simplify right side
   55,418x = 13,174,448,400
5. Step 5: Solve for x
   x = 13,174,448,400/55,418
6. Step 6: Final answer
   x = 237,728.69