Finding the Third Proportional to 131,746 and 197,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,746 : 197,257.50 = 197,257.50 : x
2. Step 2: Convert to fraction form
   131,746/197,257.50 = 197,257.50/x
3. Step 3: Cross multiply
   131,746x = 197,257.50 × 197,257.50
4. Step 4: Simplify right side
   131,746x = 38,910,521,306.25
5. Step 5: Solve for x
   x = 38,910,521,306.25/131,746
6. Step 6: Final answer
   x = 295,344.99