Finding the Third Proportional to 111,574 and 156,057

Step by Step Solution

1. Step 1: Write the proportion equation
   111,574 : 156,057 = 156,057 : x
2. Step 2: Convert to fraction form
   111,574/156,057 = 156,057/x
3. Step 3: Cross multiply
   111,574x = 156,057 × 156,057
4. Step 4: Simplify right side
   111,574x = 24,353,787,249
5. Step 5: Solve for x
   x = 24,353,787,249/111,574
6. Step 6: Final answer
   x = 218,274.75