Finding the Third Proportional to 100,225.75 and 216,002

Step by Step Solution

1. Step 1: Write the proportion equation
   100,225.75 : 216,002 = 216,002 : x
2. Step 2: Convert to fraction form
   100,225.75/216,002 = 216,002/x
3. Step 3: Cross multiply
   100,225.75x = 216,002 × 216,002
4. Step 4: Simplify right side
   100,225.75x = 46,656,864,004
5. Step 5: Solve for x
   x = 46,656,864,004/100,225.75
6. Step 6: Final answer
   x = 465,517.73