Finding the Third Proportional to 141,719.25 and 311,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,719.25 : 311,083.50 = 311,083.50 : x
2. Step 2: Convert to fraction form
   141,719.25/311,083.50 = 311,083.50/x
3. Step 3: Cross multiply
   141,719.25x = 311,083.50 × 311,083.50
4. Step 4: Simplify right side
   141,719.25x = 96,772,943,972.25
5. Step 5: Solve for x
   x = 96,772,943,972.25/141,719.25
6. Step 6: Final answer
   x = 682,849.68