Finding the Third Proportional to 144,734.50 and 206,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,734.50 : 206,781.50 = 206,781.50 : x
2. Step 2: Convert to fraction form
   144,734.50/206,781.50 = 206,781.50/x
3. Step 3: Cross multiply
   144,734.50x = 206,781.50 × 206,781.50
4. Step 4: Simplify right side
   144,734.50x = 42,758,588,742.25
5. Step 5: Solve for x
   x = 42,758,588,742.25/144,734.50
6. Step 6: Final answer
   x = 295,427.76