Finding the Third Proportional to 51,849 and 113,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,849 : 113,742.50 = 113,742.50 : x
2. Step 2: Convert to fraction form
   51,849/113,742.50 = 113,742.50/x
3. Step 3: Cross multiply
   51,849x = 113,742.50 × 113,742.50
4. Step 4: Simplify right side
   51,849x = 12,937,356,306.25
5. Step 5: Solve for x
   x = 12,937,356,306.25/51,849
6. Step 6: Final answer
   x = 249,519.88