Finding the Third Proportional to 116,680 and 254,478

Step by Step Solution

1. Step 1: Write the proportion equation
   116,680 : 254,478 = 254,478 : x
2. Step 2: Convert to fraction form
   116,680/254,478 = 254,478/x
3. Step 3: Cross multiply
   116,680x = 254,478 × 254,478
4. Step 4: Simplify right side
   116,680x = 64,759,052,484
5. Step 5: Solve for x
   x = 64,759,052,484/116,680
6. Step 6: Final answer
   x = 555,014.16