Finding the Third Proportional to 196,802 and 413,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,802 : 413,431.50 = 413,431.50 : x
2. Step 2: Convert to fraction form
   196,802/413,431.50 = 413,431.50/x
3. Step 3: Cross multiply
   196,802x = 413,431.50 × 413,431.50
4. Step 4: Simplify right side
   196,802x = 170,925,605,192.25
5. Step 5: Solve for x
   x = 170,925,605,192.25/196,802
6. Step 6: Final answer
   x = 868,515.59