Finding the Third Proportional to 144,837 and 227,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,837 : 227,497.50 = 227,497.50 : x
2. Step 2: Convert to fraction form
   144,837/227,497.50 = 227,497.50/x
3. Step 3: Cross multiply
   144,837x = 227,497.50 × 227,497.50
4. Step 4: Simplify right side
   144,837x = 51,755,112,506.25
5. Step 5: Solve for x
   x = 51,755,112,506.25/144,837
6. Step 6: Final answer
   x = 357,333.50