Finding the Third Proportional to 144,612 and 296,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,612 : 296,269.50 = 296,269.50 : x
2. Step 2: Convert to fraction form
   144,612/296,269.50 = 296,269.50/x
3. Step 3: Cross multiply
   144,612x = 296,269.50 × 296,269.50
4. Step 4: Simplify right side
   144,612x = 87,775,616,630.25
5. Step 5: Solve for x
   x = 87,775,616,630.25/144,612
6. Step 6: Final answer
   x = 606,973.26