Finding the Third Proportional to 141,952.50 and 313,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,952.50 : 313,429.50 = 313,429.50 : x
2. Step 2: Convert to fraction form
   141,952.50/313,429.50 = 313,429.50/x
3. Step 3: Cross multiply
   141,952.50x = 313,429.50 × 313,429.50
4. Step 4: Simplify right side
   141,952.50x = 98,238,051,470.25
5. Step 5: Solve for x
   x = 98,238,051,470.25/141,952.50
6. Step 6: Final answer
   x = 692,048.76