Finding the Third Proportional to 111,258 and 231,724

Step by Step Solution

1. Step 1: Write the proportion equation
   111,258 : 231,724 = 231,724 : x
2. Step 2: Convert to fraction form
   111,258/231,724 = 231,724/x
3. Step 3: Cross multiply
   111,258x = 231,724 × 231,724
4. Step 4: Simplify right side
   111,258x = 53,696,012,176
5. Step 5: Solve for x
   x = 53,696,012,176/111,258
6. Step 6: Final answer
   x = 482,626.08