Finding the Third Proportional to 216,310 and 465,902

Step by Step Solution

1. Step 1: Write the proportion equation
   216,310 : 465,902 = 465,902 : x
2. Step 2: Convert to fraction form
   216,310/465,902 = 465,902/x
3. Step 3: Cross multiply
   216,310x = 465,902 × 465,902
4. Step 4: Simplify right side
   216,310x = 217,064,673,604
5. Step 5: Solve for x
   x = 217,064,673,604/216,310
6. Step 6: Final answer
   x = 1,003,488.85