Finding the Third Proportional to 144,400 and 223,156

Step by Step Solution

1. Step 1: Write the proportion equation
   144,400 : 223,156 = 223,156 : x
2. Step 2: Convert to fraction form
   144,400/223,156 = 223,156/x
3. Step 3: Cross multiply
   144,400x = 223,156 × 223,156
4. Step 4: Simplify right side
   144,400x = 49,798,600,336
5. Step 5: Solve for x
   x = 49,798,600,336/144,400
6. Step 6: Final answer
   x = 344,865.65