Finding the Third Proportional to 194,808 and 285,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,808 : 285,205.50 = 285,205.50 : x
2. Step 2: Convert to fraction form
   194,808/285,205.50 = 285,205.50/x
3. Step 3: Cross multiply
   194,808x = 285,205.50 × 285,205.50
4. Step 4: Simplify right side
   194,808x = 81,342,177,230.25
5. Step 5: Solve for x
   x = 81,342,177,230.25/194,808
6. Step 6: Final answer
   x = 417,550.50