Finding the Third Proportional to 196,807.50 and 413,444.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196,807.50 : 413,444.25 = 413,444.25 : x
2. Step 2: Convert to fraction form
   196,807.50/413,444.25 = 413,444.25/x
3. Step 3: Cross multiply
   196,807.50x = 413,444.25 × 413,444.25
4. Step 4: Simplify right side
   196,807.50x = 170,936,147,858.06
5. Step 5: Solve for x
   x = 170,936,147,858.06/196,807.50
6. Step 6: Final answer
   x = 868,544.89