Finding the Third Proportional to 475.50 and 765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   475.50 : 765.56 = 765.56 : x
2. Step 2: Convert to fraction form
   475.50/765.56 = 765.56/x
3. Step 3: Cross multiply
   475.50x = 765.56 × 765.56
4. Step 4: Simplify right side
   475.50x = 586,085.94
5. Step 5: Solve for x
   x = 586,085.94/475.50
6. Step 6: Final answer
   x = 1,232.57