Finding the Third Proportional to 142,300.50 and 213,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,300.50 : 213,828.75 = 213,828.75 : x
2. Step 2: Convert to fraction form
   142,300.50/213,828.75 = 213,828.75/x
3. Step 3: Cross multiply
   142,300.50x = 213,828.75 × 213,828.75
4. Step 4: Simplify right side
   142,300.50x = 45,722,734,326.56
5. Step 5: Solve for x
   x = 45,722,734,326.56/142,300.50
6. Step 6: Final answer
   x = 321,311.13