Finding the Third Proportional to 102,008 and 216,384

Step by Step Solution

1. Step 1: Write the proportion equation
   102,008 : 216,384 = 216,384 : x
2. Step 2: Convert to fraction form
   102,008/216,384 = 216,384/x
3. Step 3: Cross multiply
   102,008x = 216,384 × 216,384
4. Step 4: Simplify right side
   102,008x = 46,822,035,456
5. Step 5: Solve for x
   x = 46,822,035,456/102,008
6. Step 6: Final answer
   x = 459,003.56