Finding the Third Proportional to 216,568 and 456,832

Step by Step Solution

1. Step 1: Write the proportion equation
   216,568 : 456,832 = 456,832 : x
2. Step 2: Convert to fraction form
   216,568/456,832 = 456,832/x
3. Step 3: Cross multiply
   216,568x = 456,832 × 456,832
4. Step 4: Simplify right side
   216,568x = 208,695,476,224
5. Step 5: Solve for x
   x = 208,695,476,224/216,568
6. Step 6: Final answer
   x = 963,648.72