Finding the Third Proportional to 144,664 and 221,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,664 : 221,164.50 = 221,164.50 : x
2. Step 2: Convert to fraction form
   144,664/221,164.50 = 221,164.50/x
3. Step 3: Cross multiply
   144,664x = 221,164.50 × 221,164.50
4. Step 4: Simplify right side
   144,664x = 48,913,736,060.25
5. Step 5: Solve for x
   x = 48,913,736,060.25/144,664
6. Step 6: Final answer
   x = 338,119.62