Finding the Third Proportional to 460.69 and 707.72

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 707.72 = 707.72 : x
2. Step 2: Convert to fraction form
   460.69/707.72 = 707.72/x
3. Step 3: Cross multiply
   460.69x = 707.72 × 707.72
4. Step 4: Simplify right side
   460.69x = 500,865.83
5. Step 5: Solve for x
   x = 500,865.83/460.69
6. Step 6: Final answer
   x = 1,087.21