Finding the Third Proportional to 113,258 and 158,427

Step by Step Solution

1. Step 1: Write the proportion equation
   113,258 : 158,427 = 158,427 : x
2. Step 2: Convert to fraction form
   113,258/158,427 = 158,427/x
3. Step 3: Cross multiply
   113,258x = 158,427 × 158,427
4. Step 4: Simplify right side
   113,258x = 25,099,114,329
5. Step 5: Solve for x
   x = 25,099,114,329/113,258
6. Step 6: Final answer
   x = 221,610.08