Finding the Third Proportional to 142,680 and 213,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,680 : 213,574.50 = 213,574.50 : x
2. Step 2: Convert to fraction form
   142,680/213,574.50 = 213,574.50/x
3. Step 3: Cross multiply
   142,680x = 213,574.50 × 213,574.50
4. Step 4: Simplify right side
   142,680x = 45,614,067,050.25
5. Step 5: Solve for x
   x = 45,614,067,050.25/142,680
6. Step 6: Final answer
   x = 319,694.89