Finding the Third Proportional to 126,082 and 195,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,082 : 195,229.50 = 195,229.50 : x
2. Step 2: Convert to fraction form
   126,082/195,229.50 = 195,229.50/x
3. Step 3: Cross multiply
   126,082x = 195,229.50 × 195,229.50
4. Step 4: Simplify right side
   126,082x = 38,114,557,670.25
5. Step 5: Solve for x
   x = 38,114,557,670.25/126,082
6. Step 6: Final answer
   x = 302,299.75