Finding the Third Proportional to 412.69 and 603.38

Step by Step Solution

1. Step 1: Write the proportion equation
   412.69 : 603.38 = 603.38 : x
2. Step 2: Convert to fraction form
   412.69/603.38 = 603.38/x
3. Step 3: Cross multiply
   412.69x = 603.38 × 603.38
4. Step 4: Simplify right side
   412.69x = 364,061.39
5. Step 5: Solve for x
   x = 364,061.39/412.69
6. Step 6: Final answer
   x = 882.17