Finding the Third Proportional to 131,976 and 209,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,976 : 209,722.50 = 209,722.50 : x
2. Step 2: Convert to fraction form
   131,976/209,722.50 = 209,722.50/x
3. Step 3: Cross multiply
   131,976x = 209,722.50 × 209,722.50
4. Step 4: Simplify right side
   131,976x = 43,983,527,006.25
5. Step 5: Solve for x
   x = 43,983,527,006.25/131,976
6. Step 6: Final answer
   x = 333,269.13