Finding the Third Proportional to 460.69 and 760.78

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 760.78 = 760.78 : x
2. Step 2: Convert to fraction form
   460.69/760.78 = 760.78/x
3. Step 3: Cross multiply
   460.69x = 760.78 × 760.78
4. Step 4: Simplify right side
   460.69x = 578,788.11
5. Step 5: Solve for x
   x = 578,788.11/460.69
6. Step 6: Final answer
   x = 1,256.36