Finding the Third Proportional to 475.25 and 709.69

Step by Step Solution

1. Step 1: Write the proportion equation
   475.25 : 709.69 = 709.69 : x
2. Step 2: Convert to fraction form
   475.25/709.69 = 709.69/x
3. Step 3: Cross multiply
   475.25x = 709.69 × 709.69
4. Step 4: Simplify right side
   475.25x = 503,656.35
5. Step 5: Solve for x
   x = 503,656.35/475.25
6. Step 6: Final answer
   x = 1,059.77