Finding the Third Proportional to 475.50 and 546.38

Step by Step Solution

1. Step 1: Write the proportion equation
   475.50 : 546.38 = 546.38 : x
2. Step 2: Convert to fraction form
   475.50/546.38 = 546.38/x
3. Step 3: Cross multiply
   475.50x = 546.38 × 546.38
4. Step 4: Simplify right side
   475.50x = 298,525.64
5. Step 5: Solve for x
   x = 298,525.64/475.50
6. Step 6: Final answer
   x = 627.81