Finding the Third Proportional to 219,318 and 478,296

Step by Step Solution

1. Step 1: Write the proportion equation
   219,318 : 478,296 = 478,296 : x
2. Step 2: Convert to fraction form
   219,318/478,296 = 478,296/x
3. Step 3: Cross multiply
   219,318x = 478,296 × 478,296
4. Step 4: Simplify right side
   219,318x = 228,767,063,616
5. Step 5: Solve for x
   x = 228,767,063,616/219,318
6. Step 6: Final answer
   x = 1,043,083.85