Finding the Third Proportional to 588.38 and 910.69

Step by Step Solution

1. Step 1: Write the proportion equation
   588.38 : 910.69 = 910.69 : x
2. Step 2: Convert to fraction form
   588.38/910.69 = 910.69/x
3. Step 3: Cross multiply
   588.38x = 910.69 × 910.69
4. Step 4: Simplify right side
   588.38x = 829,351.72
5. Step 5: Solve for x
   x = 829,351.72/588.38
6. Step 6: Final answer
   x = 1,409.56