Finding the Third Proportional to 57,544 and 90,420

Step by Step Solution

1. Step 1: Write the proportion equation
   57,544 : 90,420 = 90,420 : x
2. Step 2: Convert to fraction form
   57,544/90,420 = 90,420/x
3. Step 3: Cross multiply
   57,544x = 90,420 × 90,420
4. Step 4: Simplify right side
   57,544x = 8,175,776,400
5. Step 5: Solve for x
   x = 8,175,776,400/57,544
6. Step 6: Final answer
   x = 142,078.69