Finding the Third Proportional to 144,384 and 223,140

Step by Step Solution

1. Step 1: Write the proportion equation
   144,384 : 223,140 = 223,140 : x
2. Step 2: Convert to fraction form
   144,384/223,140 = 223,140/x
3. Step 3: Cross multiply
   144,384x = 223,140 × 223,140
4. Step 4: Simplify right side
   144,384x = 49,791,459,600
5. Step 5: Solve for x
   x = 49,791,459,600/144,384
6. Step 6: Final answer
   x = 344,854.41