Finding the Third Proportional to 331,924 and 477,150

Step by Step Solution

1. Step 1: Write the proportion equation
   331,924 : 477,150 = 477,150 : x
2. Step 2: Convert to fraction form
   331,924/477,150 = 477,150/x
3. Step 3: Cross multiply
   331,924x = 477,150 × 477,150
4. Step 4: Simplify right side
   331,924x = 227,672,122,500
5. Step 5: Solve for x
   x = 227,672,122,500/331,924
6. Step 6: Final answer
   x = 685,916.42