Finding the Third Proportional to 200,284.50 and 309,258

Step by Step Solution

1. Step 1: Write the proportion equation
   200,284.50 : 309,258 = 309,258 : x
2. Step 2: Convert to fraction form
   200,284.50/309,258 = 309,258/x
3. Step 3: Cross multiply
   200,284.50x = 309,258 × 309,258
4. Step 4: Simplify right side
   200,284.50x = 95,640,510,564
5. Step 5: Solve for x
   x = 95,640,510,564/200,284.50
6. Step 6: Final answer
   x = 477,523.28