Finding the Third Proportional to 113,466 and 159,002

Step by Step Solution

1. Step 1: Write the proportion equation
   113,466 : 159,002 = 159,002 : x
2. Step 2: Convert to fraction form
   113,466/159,002 = 159,002/x
3. Step 3: Cross multiply
   113,466x = 159,002 × 159,002
4. Step 4: Simplify right side
   113,466x = 25,281,636,004
5. Step 5: Solve for x
   x = 25,281,636,004/113,466
6. Step 6: Final answer
   x = 222,812.44