Finding the Third Proportional to 90,871 and 212,258

Step by Step Solution

1. Step 1: Write the proportion equation
   90,871 : 212,258 = 212,258 : x
2. Step 2: Convert to fraction form
   90,871/212,258 = 212,258/x
3. Step 3: Cross multiply
   90,871x = 212,258 × 212,258
4. Step 4: Simplify right side
   90,871x = 45,053,458,564
5. Step 5: Solve for x
   x = 45,053,458,564/90,871
6. Step 6: Final answer
   x = 495,795.78