Finding the Third Proportional to 372.75 and 814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   372.75 : 814.69 = 814.69 : x
2. Step 2: Convert to fraction form
   372.75/814.69 = 814.69/x
3. Step 3: Cross multiply
   372.75x = 814.69 × 814.69
4. Step 4: Simplify right side
   372.75x = 663,715.72
5. Step 5: Solve for x
   x = 663,715.72/372.75
6. Step 6: Final answer
   x = 1,780.59