Finding the Third Proportional to 297,972 and 382,593.38

Step by Step Solution

1. Step 1: Write the proportion equation
   297,972 : 382,593.38 = 382,593.38 : x
2. Step 2: Convert to fraction form
   297,972/382,593.38 = 382,593.38/x
3. Step 3: Cross multiply
   297,972x = 382,593.38 × 382,593.38
4. Step 4: Simplify right side
   297,972x = 146,377,690,593.89
5. Step 5: Solve for x
   x = 146,377,690,593.89/297,972
6. Step 6: Final answer
   x = 491,246.46