Finding the Third Proportional to 367.13 and 760.31

Step by Step Solution

1. Step 1: Write the proportion equation
   367.13 : 760.31 = 760.31 : x
2. Step 2: Convert to fraction form
   367.13/760.31 = 760.31/x
3. Step 3: Cross multiply
   367.13x = 760.31 × 760.31
4. Step 4: Simplify right side
   367.13x = 578,075.10
5. Step 5: Solve for x
   x = 578,075.10/367.13
6. Step 6: Final answer
   x = 1,574.60