Finding the Third Proportional to 103,914 and 161,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,914 : 161,217.50 = 161,217.50 : x
2. Step 2: Convert to fraction form
   103,914/161,217.50 = 161,217.50/x
3. Step 3: Cross multiply
   103,914x = 161,217.50 × 161,217.50
4. Step 4: Simplify right side
   103,914x = 25,991,082,306.25
5. Step 5: Solve for x
   x = 25,991,082,306.25/103,914
6. Step 6: Final answer
   x = 250,121.08