Finding the Third Proportional to 96,258 and 213,846

Step by Step Solution

1. Step 1: Write the proportion equation
   96,258 : 213,846 = 213,846 : x
2. Step 2: Convert to fraction form
   96,258/213,846 = 213,846/x
3. Step 3: Cross multiply
   96,258x = 213,846 × 213,846
4. Step 4: Simplify right side
   96,258x = 45,730,111,716
5. Step 5: Solve for x
   x = 45,730,111,716/96,258
6. Step 6: Final answer
   x = 475,078.56