Finding the Third Proportional to 407,376 and 599,238

Step by Step Solution

1. Step 1: Write the proportion equation
   407,376 : 599,238 = 599,238 : x
2. Step 2: Convert to fraction form
   407,376/599,238 = 599,238/x
3. Step 3: Cross multiply
   407,376x = 599,238 × 599,238
4. Step 4: Simplify right side
   407,376x = 359,086,180,644
5. Step 5: Solve for x
   x = 359,086,180,644/407,376
6. Step 6: Final answer
   x = 881,461.31