Finding the Third Proportional to 315,054 and 478,406

Step by Step Solution

1. Step 1: Write the proportion equation
   315,054 : 478,406 = 478,406 : x
2. Step 2: Convert to fraction form
   315,054/478,406 = 478,406/x
3. Step 3: Cross multiply
   315,054x = 478,406 × 478,406
4. Step 4: Simplify right side
   315,054x = 228,872,300,836
5. Step 5: Solve for x
   x = 228,872,300,836/315,054
6. Step 6: Final answer
   x = 726,454.20