Finding the Third Proportional to 475.50 and 730.56

Step by Step Solution

1. Step 1: Write the proportion equation
   475.50 : 730.56 = 730.56 : x
2. Step 2: Convert to fraction form
   475.50/730.56 = 730.56/x
3. Step 3: Cross multiply
   475.50x = 730.56 × 730.56
4. Step 4: Simplify right side
   475.50x = 533,721.57
5. Step 5: Solve for x
   x = 533,721.57/475.50
6. Step 6: Final answer
   x = 1,122.44