Finding the Third Proportional to 101,463 and 144,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,463 : 144,217.50 = 144,217.50 : x
2. Step 2: Convert to fraction form
   101,463/144,217.50 = 144,217.50/x
3. Step 3: Cross multiply
   101,463x = 144,217.50 × 144,217.50
4. Step 4: Simplify right side
   101,463x = 20,798,687,306.25
5. Step 5: Solve for x
   x = 20,798,687,306.25/101,463
6. Step 6: Final answer
   x = 204,987.90