Finding the Third Proportional to 199,564.50 and 315,966

Step by Step Solution

1. Step 1: Write the proportion equation
   199,564.50 : 315,966 = 315,966 : x
2. Step 2: Convert to fraction form
   199,564.50/315,966 = 315,966/x
3. Step 3: Cross multiply
   199,564.50x = 315,966 × 315,966
4. Step 4: Simplify right side
   199,564.50x = 99,834,513,156
5. Step 5: Solve for x
   x = 99,834,513,156/199,564.50
6. Step 6: Final answer
   x = 500,261.89