Finding the Third Proportional to 142,300 and 213,828

Step by Step Solution

1. Step 1: Write the proportion equation
   142,300 : 213,828 = 213,828 : x
2. Step 2: Convert to fraction form
   142,300/213,828 = 213,828/x
3. Step 3: Cross multiply
   142,300x = 213,828 × 213,828
4. Step 4: Simplify right side
   142,300x = 45,722,413,584
5. Step 5: Solve for x
   x = 45,722,413,584/142,300
6. Step 6: Final answer
   x = 321,310.00