Finding the Third Proportional to 477.50 and 740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   477.50 : 740.50 = 740.50 : x
2. Step 2: Convert to fraction form
   477.50/740.50 = 740.50/x
3. Step 3: Cross multiply
   477.50x = 740.50 × 740.50
4. Step 4: Simplify right side
   477.50x = 548,340.25
5. Step 5: Solve for x
   x = 548,340.25/477.50
6. Step 6: Final answer
   x = 1,148.36