Finding the Third Proportional to 397,665 and 602,290

Step by Step Solution

1. Step 1: Write the proportion equation
   397,665 : 602,290 = 602,290 : x
2. Step 2: Convert to fraction form
   397,665/602,290 = 602,290/x
3. Step 3: Cross multiply
   397,665x = 602,290 × 602,290
4. Step 4: Simplify right side
   397,665x = 362,753,244,100
5. Step 5: Solve for x
   x = 362,753,244,100/397,665
6. Step 6: Final answer
   x = 912,208.13