Finding the Third Proportional to 140,460 and 309,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,460 : 309,550.50 = 309,550.50 : x
2. Step 2: Convert to fraction form
   140,460/309,550.50 = 309,550.50/x
3. Step 3: Cross multiply
   140,460x = 309,550.50 × 309,550.50
4. Step 4: Simplify right side
   140,460x = 95,821,512,050.25
5. Step 5: Solve for x
   x = 95,821,512,050.25/140,460
6. Step 6: Final answer
   x = 682,197.86