Finding the Third Proportional to 337,948 and 523,099

Step by Step Solution

1. Step 1: Write the proportion equation
   337,948 : 523,099 = 523,099 : x
2. Step 2: Convert to fraction form
   337,948/523,099 = 523,099/x
3. Step 3: Cross multiply
   337,948x = 523,099 × 523,099
4. Step 4: Simplify right side
   337,948x = 273,632,563,801
5. Step 5: Solve for x
   x = 273,632,563,801/337,948
6. Step 6: Final answer
   x = 809,688.37