Finding the Third Proportional to 144,407 and 223,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,407 : 223,166.50 = 223,166.50 : x
2. Step 2: Convert to fraction form
   144,407/223,166.50 = 223,166.50/x
3. Step 3: Cross multiply
   144,407x = 223,166.50 × 223,166.50
4. Step 4: Simplify right side
   144,407x = 49,803,286,722.25
5. Step 5: Solve for x
   x = 49,803,286,722.25/144,407
6. Step 6: Final answer
   x = 344,881.39