Finding the Third Proportional to 111,744 and 228,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,744 : 228,406.50 = 228,406.50 : x
2. Step 2: Convert to fraction form
   111,744/228,406.50 = 228,406.50/x
3. Step 3: Cross multiply
   111,744x = 228,406.50 × 228,406.50
4. Step 4: Simplify right side
   111,744x = 52,169,529,242.25
5. Step 5: Solve for x
   x = 52,169,529,242.25/111,744
6. Step 6: Final answer
   x = 466,866.49