Finding the Third Proportional to 103,344 and 146,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,344 : 146,269.50 = 146,269.50 : x
2. Step 2: Convert to fraction form
   103,344/146,269.50 = 146,269.50/x
3. Step 3: Cross multiply
   103,344x = 146,269.50 × 146,269.50
4. Step 4: Simplify right side
   103,344x = 21,394,766,630.25
5. Step 5: Solve for x
   x = 21,394,766,630.25/103,344
6. Step 6: Final answer
   x = 207,024.76