Finding the Third Proportional to 493.38 and 760.31

Step by Step Solution

1. Step 1: Write the proportion equation
   493.38 : 760.31 = 760.31 : x
2. Step 2: Convert to fraction form
   493.38/760.31 = 760.31/x
3. Step 3: Cross multiply
   493.38x = 760.31 × 760.31
4. Step 4: Simplify right side
   493.38x = 578,075.10
5. Step 5: Solve for x
   x = 578,075.10/493.38
6. Step 6: Final answer
   x = 1,171.67