Finding the Third Proportional to 144,085.50 and 222,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,085.50 : 222,637.50 = 222,637.50 : x
2. Step 2: Convert to fraction form
   144,085.50/222,637.50 = 222,637.50/x
3. Step 3: Cross multiply
   144,085.50x = 222,637.50 × 222,637.50
4. Step 4: Simplify right side
   144,085.50x = 49,567,456,406.25
5. Step 5: Solve for x
   x = 49,567,456,406.25/144,085.50
6. Step 6: Final answer
   x = 344,014.19