Finding the Third Proportional to 219,376 and 478,400

Step by Step Solution

1. Step 1: Write the proportion equation
   219,376 : 478,400 = 478,400 : x
2. Step 2: Convert to fraction form
   219,376/478,400 = 478,400/x
3. Step 3: Cross multiply
   219,376x = 478,400 × 478,400
4. Step 4: Simplify right side
   219,376x = 228,866,560,000
5. Step 5: Solve for x
   x = 228,866,560,000/219,376
6. Step 6: Final answer
   x = 1,043,261.61