Finding the Third Proportional to 53,578 and 116,680

Step by Step Solution

1. Step 1: Write the proportion equation
   53,578 : 116,680 = 116,680 : x
2. Step 2: Convert to fraction form
   53,578/116,680 = 116,680/x
3. Step 3: Cross multiply
   53,578x = 116,680 × 116,680
4. Step 4: Simplify right side
   53,578x = 13,614,222,400
5. Step 5: Solve for x
   x = 13,614,222,400/53,578
6. Step 6: Final answer
   x = 254,100.98