Finding the Third Proportional to 140,789.25 and 306,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,789.25 : 306,364.50 = 306,364.50 : x
2. Step 2: Convert to fraction form
   140,789.25/306,364.50 = 306,364.50/x
3. Step 3: Cross multiply
   140,789.25x = 306,364.50 × 306,364.50
4. Step 4: Simplify right side
   140,789.25x = 93,859,206,860.25
5. Step 5: Solve for x
   x = 93,859,206,860.25/140,789.25
6. Step 6: Final answer
   x = 666,664.58