Finding the Third Proportional to 142,420 and 223,406

Step by Step Solution

1. Step 1: Write the proportion equation
   142,420 : 223,406 = 223,406 : x
2. Step 2: Convert to fraction form
   142,420/223,406 = 223,406/x
3. Step 3: Cross multiply
   142,420x = 223,406 × 223,406
4. Step 4: Simplify right side
   142,420x = 49,910,240,836
5. Step 5: Solve for x
   x = 49,910,240,836/142,420
6. Step 6: Final answer
   x = 350,444.04