Finding the Third Proportional to 113,468 and 159,005

Step by Step Solution

1. Step 1: Write the proportion equation
   113,468 : 159,005 = 159,005 : x
2. Step 2: Convert to fraction form
   113,468/159,005 = 159,005/x
3. Step 3: Cross multiply
   113,468x = 159,005 × 159,005
4. Step 4: Simplify right side
   113,468x = 25,282,590,025
5. Step 5: Solve for x
   x = 25,282,590,025/113,468
6. Step 6: Final answer
   x = 222,816.92