Finding the Third Proportional to 55,456 and 118,680

Step by Step Solution

1. Step 1: Write the proportion equation
   55,456 : 118,680 = 118,680 : x
2. Step 2: Convert to fraction form
   55,456/118,680 = 118,680/x
3. Step 3: Cross multiply
   55,456x = 118,680 × 118,680
4. Step 4: Simplify right side
   55,456x = 14,084,942,400
5. Step 5: Solve for x
   x = 14,084,942,400/55,456
6. Step 6: Final answer
   x = 253,984.10