Finding the Third Proportional to 404,301 and 478,112

Step by Step Solution

1. Step 1: Write the proportion equation
   404,301 : 478,112 = 478,112 : x
2. Step 2: Convert to fraction form
   404,301/478,112 = 478,112/x
3. Step 3: Cross multiply
   404,301x = 478,112 × 478,112
4. Step 4: Simplify right side
   404,301x = 228,591,084,544
5. Step 5: Solve for x
   x = 228,591,084,544/404,301
6. Step 6: Final answer
   x = 565,398.27