Finding the Third Proportional to 310.50 and 464.27

Step by Step Solution

1. Step 1: Write the proportion equation
   310.50 : 464.27 = 464.27 : x
2. Step 2: Convert to fraction form
   310.50/464.27 = 464.27/x
3. Step 3: Cross multiply
   310.50x = 464.27 × 464.27
4. Step 4: Simplify right side
   310.50x = 215,549.82
5. Step 5: Solve for x
   x = 215,549.82/310.50
6. Step 6: Final answer
   x = 694.20