Finding the Third Proportional to 142,199.25 and 311,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,199.25 : 311,182.50 = 311,182.50 : x
2. Step 2: Convert to fraction form
   142,199.25/311,182.50 = 311,182.50/x
3. Step 3: Cross multiply
   142,199.25x = 311,182.50 × 311,182.50
4. Step 4: Simplify right side
   142,199.25x = 96,834,548,306.25
5. Step 5: Solve for x
   x = 96,834,548,306.25/142,199.25
6. Step 6: Final answer
   x = 680,977.91