Finding the Third Proportional to 99,510 and 216,444

Step by Step Solution

1. Step 1: Write the proportion equation
   99,510 : 216,444 = 216,444 : x
2. Step 2: Convert to fraction form
   99,510/216,444 = 216,444/x
3. Step 3: Cross multiply
   99,510x = 216,444 × 216,444
4. Step 4: Simplify right side
   99,510x = 46,848,005,136
5. Step 5: Solve for x
   x = 46,848,005,136/99,510
6. Step 6: Final answer
   x = 470,786.91