Finding the Third Proportional to 460.69 and 610.03

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 610.03 = 610.03 : x
2. Step 2: Convert to fraction form
   460.69/610.03 = 610.03/x
3. Step 3: Cross multiply
   460.69x = 610.03 × 610.03
4. Step 4: Simplify right side
   460.69x = 372,138.13
5. Step 5: Solve for x
   x = 372,138.13/460.69
6. Step 6: Final answer
   x = 807.79