Finding the Third Proportional to 195,088 and 398,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,088 : 398,172.50 = 398,172.50 : x
2. Step 2: Convert to fraction form
   195,088/398,172.50 = 398,172.50/x
3. Step 3: Cross multiply
   195,088x = 398,172.50 × 398,172.50
4. Step 4: Simplify right side
   195,088x = 158,541,339,756.25
5. Step 5: Solve for x
   x = 158,541,339,756.25/195,088
6. Step 6: Final answer
   x = 812,665.77