Finding the Third Proportional to 213,384 and 465,168

Step by Step Solution

1. Step 1: Write the proportion equation
   213,384 : 465,168 = 465,168 : x
2. Step 2: Convert to fraction form
   213,384/465,168 = 465,168/x
3. Step 3: Cross multiply
   213,384x = 465,168 × 465,168
4. Step 4: Simplify right side
   213,384x = 216,381,268,224
5. Step 5: Solve for x
   x = 216,381,268,224/213,384
6. Step 6: Final answer
   x = 1,014,046.36