Finding the Third Proportional to 463.13 and 601.31

Step by Step Solution

1. Step 1: Write the proportion equation
   463.13 : 601.31 = 601.31 : x
2. Step 2: Convert to fraction form
   463.13/601.31 = 601.31/x
3. Step 3: Cross multiply
   463.13x = 601.31 × 601.31
4. Step 4: Simplify right side
   463.13x = 361,576.72
5. Step 5: Solve for x
   x = 361,576.72/463.13
6. Step 6: Final answer
   x = 780.73