Finding the Third Proportional to 219,434 and 472,168

Step by Step Solution

1. Step 1: Write the proportion equation
   219,434 : 472,168 = 472,168 : x
2. Step 2: Convert to fraction form
   219,434/472,168 = 472,168/x
3. Step 3: Cross multiply
   219,434x = 472,168 × 472,168
4. Step 4: Simplify right side
   219,434x = 222,942,620,224
5. Step 5: Solve for x
   x = 222,942,620,224/219,434
6. Step 6: Final answer
   x = 1,015,989.41