Finding the Third Proportional to 194,562 and 398,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,562 : 398,776.50 = 398,776.50 : x
2. Step 2: Convert to fraction form
   194,562/398,776.50 = 398,776.50/x
3. Step 3: Cross multiply
   194,562x = 398,776.50 × 398,776.50
4. Step 4: Simplify right side
   194,562x = 159,022,696,952.25
5. Step 5: Solve for x
   x = 159,022,696,952.25/194,562
6. Step 6: Final answer
   x = 817,336.87