Finding the Third Proportional to 131,731.50 and 277,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   131,731.50 : 277,229.25 = 277,229.25 : x
2. Step 2: Convert to fraction form
   131,731.50/277,229.25 = 277,229.25/x
3. Step 3: Cross multiply
   131,731.50x = 277,229.25 × 277,229.25
4. Step 4: Simplify right side
   131,731.50x = 76,856,057,055.56
5. Step 5: Solve for x
   x = 76,856,057,055.56/131,731.50
6. Step 6: Final answer
   x = 583,429.61