Finding the Third Proportional to 219,288 and 478,176

Step by Step Solution

1. Step 1: Write the proportion equation
   219,288 : 478,176 = 478,176 : x
2. Step 2: Convert to fraction form
   219,288/478,176 = 478,176/x
3. Step 3: Cross multiply
   219,288x = 478,176 × 478,176
4. Step 4: Simplify right side
   219,288x = 228,652,286,976
5. Step 5: Solve for x
   x = 228,652,286,976/219,288
6. Step 6: Final answer
   x = 1,042,703.14