Finding the Third Proportional to 99,462 and 216,414

Step by Step Solution

1. Step 1: Write the proportion equation
   99,462 : 216,414 = 216,414 : x
2. Step 2: Convert to fraction form
   99,462/216,414 = 216,414/x
3. Step 3: Cross multiply
   99,462x = 216,414 × 216,414
4. Step 4: Simplify right side
   99,462x = 46,835,019,396
5. Step 5: Solve for x
   x = 46,835,019,396/99,462
6. Step 6: Final answer
   x = 470,883.55