Finding the Third Proportional to 100,002 and 216,960

Step by Step Solution

1. Step 1: Write the proportion equation
   100,002 : 216,960 = 216,960 : x
2. Step 2: Convert to fraction form
   100,002/216,960 = 216,960/x
3. Step 3: Cross multiply
   100,002x = 216,960 × 216,960
4. Step 4: Simplify right side
   100,002x = 47,071,641,600
5. Step 5: Solve for x
   x = 47,071,641,600/100,002
6. Step 6: Final answer
   x = 470,707.00