Finding the Third Proportional to 214,562 and 465,268

Step by Step Solution

1. Step 1: Write the proportion equation
   214,562 : 465,268 = 465,268 : x
2. Step 2: Convert to fraction form
   214,562/465,268 = 465,268/x
3. Step 3: Cross multiply
   214,562x = 465,268 × 465,268
4. Step 4: Simplify right side
   214,562x = 216,474,311,824
5. Step 5: Solve for x
   x = 216,474,311,824/214,562
6. Step 6: Final answer
   x = 1,008,912.63