Finding the Third Proportional to 297.42 and 645.89

Step by Step Solution

1. Step 1: Write the proportion equation
   297.42 : 645.89 = 645.89 : x
2. Step 2: Convert to fraction form
   297.42/645.89 = 645.89/x
3. Step 3: Cross multiply
   297.42x = 645.89 × 645.89
4. Step 4: Simplify right side
   297.42x = 417,174.70
5. Step 5: Solve for x
   x = 417,174.70/297.42
6. Step 6: Final answer
   x = 1,402.64