Finding the Third Proportional to 134,084 and 198,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,084 : 198,806.50 = 198,806.50 : x
2. Step 2: Convert to fraction form
   134,084/198,806.50 = 198,806.50/x
3. Step 3: Cross multiply
   134,084x = 198,806.50 × 198,806.50
4. Step 4: Simplify right side
   134,084x = 39,524,024,442.25
5. Step 5: Solve for x
   x = 39,524,024,442.25/134,084
6. Step 6: Final answer
   x = 294,770.62