Finding the Third Proportional to 55,532 and 125,002

Step by Step Solution

1. Step 1: Write the proportion equation
   55,532 : 125,002 = 125,002 : x
2. Step 2: Convert to fraction form
   55,532/125,002 = 125,002/x
3. Step 3: Cross multiply
   55,532x = 125,002 × 125,002
4. Step 4: Simplify right side
   55,532x = 15,625,500,004
5. Step 5: Solve for x
   x = 15,625,500,004/55,532
6. Step 6: Final answer
   x = 281,378.30