Finding the Third Proportional to 144,913.50 and 309,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,913.50 : 309,086.50 = 309,086.50 : x
2. Step 2: Convert to fraction form
   144,913.50/309,086.50 = 309,086.50/x
3. Step 3: Cross multiply
   144,913.50x = 309,086.50 × 309,086.50
4. Step 4: Simplify right side
   144,913.50x = 95,534,464,482.25
5. Step 5: Solve for x
   x = 95,534,464,482.25/144,913.50
6. Step 6: Final answer
   x = 659,251.65