Finding the Third Proportional to 131,500 and 213,642

Step by Step Solution

1. Step 1: Write the proportion equation
   131,500 : 213,642 = 213,642 : x
2. Step 2: Convert to fraction form
   131,500/213,642 = 213,642/x
3. Step 3: Cross multiply
   131,500x = 213,642 × 213,642
4. Step 4: Simplify right side
   131,500x = 45,642,904,164
5. Step 5: Solve for x
   x = 45,642,904,164/131,500
6. Step 6: Final answer
   x = 347,094.33