Finding the Third Proportional to 374.78 and 760.32

Step by Step Solution

1. Step 1: Write the proportion equation
   374.78 : 760.32 = 760.32 : x
2. Step 2: Convert to fraction form
   374.78/760.32 = 760.32/x
3. Step 3: Cross multiply
   374.78x = 760.32 × 760.32
4. Step 4: Simplify right side
   374.78x = 578,092.92
5. Step 5: Solve for x
   x = 578,092.92/374.78
6. Step 6: Final answer
   x = 1,542.47