Finding the Third Proportional to 142,723.50 and 310,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,723.50 : 310,873.50 = 310,873.50 : x
2. Step 2: Convert to fraction form
   142,723.50/310,873.50 = 310,873.50/x
3. Step 3: Cross multiply
   142,723.50x = 310,873.50 × 310,873.50
4. Step 4: Simplify right side
   142,723.50x = 96,642,333,002.25
5. Step 5: Solve for x
   x = 96,642,333,002.25/142,723.50
6. Step 6: Final answer
   x = 677,129.79