Finding the Third Proportional to 144,742.50 and 229,743

Step by Step Solution

1. Step 1: Write the proportion equation
   144,742.50 : 229,743 = 229,743 : x
2. Step 2: Convert to fraction form
   144,742.50/229,743 = 229,743/x
3. Step 3: Cross multiply
   144,742.50x = 229,743 × 229,743
4. Step 4: Simplify right side
   144,742.50x = 52,781,846,049
5. Step 5: Solve for x
   x = 52,781,846,049/144,742.50
6. Step 6: Final answer
   x = 364,660.32