Finding the Third Proportional to 404,302 and 478,114

Step by Step Solution

1. Step 1: Write the proportion equation
   404,302 : 478,114 = 478,114 : x
2. Step 2: Convert to fraction form
   404,302/478,114 = 478,114/x
3. Step 3: Cross multiply
   404,302x = 478,114 × 478,114
4. Step 4: Simplify right side
   404,302x = 228,592,996,996
5. Step 5: Solve for x
   x = 228,592,996,996/404,302
6. Step 6: Final answer
   x = 565,401.60