Finding the Third Proportional to 216,292 and 465,864

Step by Step Solution

1. Step 1: Write the proportion equation
   216,292 : 465,864 = 465,864 : x
2. Step 2: Convert to fraction form
   216,292/465,864 = 465,864/x
3. Step 3: Cross multiply
   216,292x = 465,864 × 465,864
4. Step 4: Simplify right side
   216,292x = 217,029,266,496
5. Step 5: Solve for x
   x = 217,029,266,496/216,292
6. Step 6: Final answer
   x = 1,003,408.66