Finding the Third Proportional to 99,458 and 216,406

Step by Step Solution

1. Step 1: Write the proportion equation
   99,458 : 216,406 = 216,406 : x
2. Step 2: Convert to fraction form
   99,458/216,406 = 216,406/x
3. Step 3: Cross multiply
   99,458x = 216,406 × 216,406
4. Step 4: Simplify right side
   99,458x = 46,831,556,836
5. Step 5: Solve for x
   x = 46,831,556,836/99,458
6. Step 6: Final answer
   x = 470,867.67