Finding the Third Proportional to 87,941 and 192,514

Step by Step Solution

1. Step 1: Write the proportion equation
   87,941 : 192,514 = 192,514 : x
2. Step 2: Convert to fraction form
   87,941/192,514 = 192,514/x
3. Step 3: Cross multiply
   87,941x = 192,514 × 192,514
4. Step 4: Simplify right side
   87,941x = 37,061,640,196
5. Step 5: Solve for x
   x = 37,061,640,196/87,941
6. Step 6: Final answer
   x = 421,437.56