Finding the Third Proportional to 59,782.50 and 125,667

Step by Step Solution

1. Step 1: Write the proportion equation
   59,782.50 : 125,667 = 125,667 : x
2. Step 2: Convert to fraction form
   59,782.50/125,667 = 125,667/x
3. Step 3: Cross multiply
   59,782.50x = 125,667 × 125,667
4. Step 4: Simplify right side
   59,782.50x = 15,792,194,889
5. Step 5: Solve for x
   x = 15,792,194,889/59,782.50
6. Step 6: Final answer
   x = 264,160.83