Finding the Third Proportional to 144,735.75 and 206,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,735.75 : 206,782.50 = 206,782.50 : x
2. Step 2: Convert to fraction form
   144,735.75/206,782.50 = 206,782.50/x
3. Step 3: Cross multiply
   144,735.75x = 206,782.50 × 206,782.50
4. Step 4: Simplify right side
   144,735.75x = 42,759,002,306.25
5. Step 5: Solve for x
   x = 42,759,002,306.25/144,735.75
6. Step 6: Final answer
   x = 295,428.06