Finding the Third Proportional to 142,644 and 220,754

Step by Step Solution

1. Step 1: Write the proportion equation
   142,644 : 220,754 = 220,754 : x
2. Step 2: Convert to fraction form
   142,644/220,754 = 220,754/x
3. Step 3: Cross multiply
   142,644x = 220,754 × 220,754
4. Step 4: Simplify right side
   142,644x = 48,732,328,516
5. Step 5: Solve for x
   x = 48,732,328,516/142,644
6. Step 6: Final answer
   x = 341,636.02