Finding the Third Proportional to 140,974.50 and 317,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,974.50 : 317,437.50 = 317,437.50 : x
2. Step 2: Convert to fraction form
   140,974.50/317,437.50 = 317,437.50/x
3. Step 3: Cross multiply
   140,974.50x = 317,437.50 × 317,437.50
4. Step 4: Simplify right side
   140,974.50x = 100,766,566,406.25
5. Step 5: Solve for x
   x = 100,766,566,406.25/140,974.50
6. Step 6: Final answer
   x = 714,785.77