Finding the Third Proportional to 162,228 and 217,002

Step by Step Solution

1. Step 1: Write the proportion equation
   162,228 : 217,002 = 217,002 : x
2. Step 2: Convert to fraction form
   162,228/217,002 = 217,002/x
3. Step 3: Cross multiply
   162,228x = 217,002 × 217,002
4. Step 4: Simplify right side
   162,228x = 47,089,868,004
5. Step 5: Solve for x
   x = 47,089,868,004/162,228
6. Step 6: Final answer
   x = 290,269.67