Finding the Third Proportional to 143,874 and 225,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,874 : 225,697.50 = 225,697.50 : x
2. Step 2: Convert to fraction form
   143,874/225,697.50 = 225,697.50/x
3. Step 3: Cross multiply
   143,874x = 225,697.50 × 225,697.50
4. Step 4: Simplify right side
   143,874x = 50,939,361,506.25
5. Step 5: Solve for x
   x = 50,939,361,506.25/143,874
6. Step 6: Final answer
   x = 354,055.36