Finding the Third Proportional to 191,978 and 412,934

Step by Step Solution

1. Step 1: Write the proportion equation
   191,978 : 412,934 = 412,934 : x
2. Step 2: Convert to fraction form
   191,978/412,934 = 412,934/x
3. Step 3: Cross multiply
   191,978x = 412,934 × 412,934
4. Step 4: Simplify right side
   191,978x = 170,514,488,356
5. Step 5: Solve for x
   x = 170,514,488,356/191,978
6. Step 6: Final answer
   x = 888,198.07