Finding the Third Proportional to 120,624.50 and 257,280

Step by Step Solution

1. Step 1: Write the proportion equation
   120,624.50 : 257,280 = 257,280 : x
2. Step 2: Convert to fraction form
   120,624.50/257,280 = 257,280/x
3. Step 3: Cross multiply
   120,624.50x = 257,280 × 257,280
4. Step 4: Simplify right side
   120,624.50x = 66,192,998,400
5. Step 5: Solve for x
   x = 66,192,998,400/120,624.50
6. Step 6: Final answer
   x = 548,752.52