Finding the Third Proportional to 220,464 and 478,512

Step by Step Solution

1. Step 1: Write the proportion equation
   220,464 : 478,512 = 478,512 : x
2. Step 2: Convert to fraction form
   220,464/478,512 = 478,512/x
3. Step 3: Cross multiply
   220,464x = 478,512 × 478,512
4. Step 4: Simplify right side
   220,464x = 228,973,734,144
5. Step 5: Solve for x
   x = 228,973,734,144/220,464
6. Step 6: Final answer
   x = 1,038,599.20