Finding the Third Proportional to 131,826 and 204,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,826 : 204,292.50 = 204,292.50 : x
2. Step 2: Convert to fraction form
   131,826/204,292.50 = 204,292.50/x
3. Step 3: Cross multiply
   131,826x = 204,292.50 × 204,292.50
4. Step 4: Simplify right side
   131,826x = 41,735,425,556.25
5. Step 5: Solve for x
   x = 41,735,425,556.25/131,826
6. Step 6: Final answer
   x = 316,594.80