Finding the Third Proportional to 142,250 and 213,754

Step by Step Solution

1. Step 1: Write the proportion equation
   142,250 : 213,754 = 213,754 : x
2. Step 2: Convert to fraction form
   142,250/213,754 = 213,754/x
3. Step 3: Cross multiply
   142,250x = 213,754 × 213,754
4. Step 4: Simplify right side
   142,250x = 45,690,772,516
5. Step 5: Solve for x
   x = 45,690,772,516/142,250
6. Step 6: Final answer
   x = 321,200.51