Finding the Third Proportional to 131,665 and 256,760

Step by Step Solution

1. Step 1: Write the proportion equation
   131,665 : 256,760 = 256,760 : x
2. Step 2: Convert to fraction form
   131,665/256,760 = 256,760/x
3. Step 3: Cross multiply
   131,665x = 256,760 × 256,760
4. Step 4: Simplify right side
   131,665x = 65,925,697,600
5. Step 5: Solve for x
   x = 65,925,697,600/131,665
6. Step 6: Final answer
   x = 500,707.84