Finding the Third Proportional to 101,415 and 220,002

Step by Step Solution

1. Step 1: Write the proportion equation
   101,415 : 220,002 = 220,002 : x
2. Step 2: Convert to fraction form
   101,415/220,002 = 220,002/x
3. Step 3: Cross multiply
   101,415x = 220,002 × 220,002
4. Step 4: Simplify right side
   101,415x = 48,400,880,004
5. Step 5: Solve for x
   x = 48,400,880,004/101,415
6. Step 6: Final answer
   x = 477,255.63