Finding the Third Proportional to 458.58 and 709.59

Step by Step Solution

1. Step 1: Write the proportion equation
   458.58 : 709.59 = 709.59 : x
2. Step 2: Convert to fraction form
   458.58/709.59 = 709.59/x
3. Step 3: Cross multiply
   458.58x = 709.59 × 709.59
4. Step 4: Simplify right side
   458.58x = 503,523.29
5. Step 5: Solve for x
   x = 503,523.29/458.58
6. Step 6: Final answer
   x = 1,098.01