Finding the Third Proportional to 113,874 and 162,216

Step by Step Solution

1. Step 1: Write the proportion equation
   113,874 : 162,216 = 162,216 : x
2. Step 2: Convert to fraction form
   113,874/162,216 = 162,216/x
3. Step 3: Cross multiply
   113,874x = 162,216 × 162,216
4. Step 4: Simplify right side
   113,874x = 26,314,030,656
5. Step 5: Solve for x
   x = 26,314,030,656/113,874
6. Step 6: Final answer
   x = 231,080.23