Finding the Third Proportional to 113,256 and 158,424

Step by Step Solution

1. Step 1: Write the proportion equation
   113,256 : 158,424 = 158,424 : x
2. Step 2: Convert to fraction form
   113,256/158,424 = 158,424/x
3. Step 3: Cross multiply
   113,256x = 158,424 × 158,424
4. Step 4: Simplify right side
   113,256x = 25,098,163,776
5. Step 5: Solve for x
   x = 25,098,163,776/113,256
6. Step 6: Final answer
   x = 221,605.60