Finding the Third Proportional to 219,294 and 478,188

Step by Step Solution

1. Step 1: Write the proportion equation
   219,294 : 478,188 = 478,188 : x
2. Step 2: Convert to fraction form
   219,294/478,188 = 478,188/x
3. Step 3: Cross multiply
   219,294x = 478,188 × 478,188
4. Step 4: Simplify right side
   219,294x = 228,663,763,344
5. Step 5: Solve for x
   x = 228,663,763,344/219,294
6. Step 6: Final answer
   x = 1,042,726.95