Finding the Third Proportional to 131,633 and 188,229

Step by Step Solution

1. Step 1: Write the proportion equation
   131,633 : 188,229 = 188,229 : x
2. Step 2: Convert to fraction form
   131,633/188,229 = 188,229/x
3. Step 3: Cross multiply
   131,633x = 188,229 × 188,229
4. Step 4: Simplify right side
   131,633x = 35,430,156,441
5. Step 5: Solve for x
   x = 35,430,156,441/131,633
6. Step 6: Final answer
   x = 269,158.62