Finding the Third Proportional to 200,661 and 315,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,661 : 315,343.50 = 315,343.50 : x
2. Step 2: Convert to fraction form
   200,661/315,343.50 = 315,343.50/x
3. Step 3: Cross multiply
   200,661x = 315,343.50 × 315,343.50
4. Step 4: Simplify right side
   200,661x = 99,441,522,992.25
5. Step 5: Solve for x
   x = 99,441,522,992.25/200,661
6. Step 6: Final answer
   x = 495,569.76