Finding the Third Proportional to 191,732 and 413,514

Step by Step Solution

1. Step 1: Write the proportion equation
   191,732 : 413,514 = 413,514 : x
2. Step 2: Convert to fraction form
   191,732/413,514 = 413,514/x
3. Step 3: Cross multiply
   191,732x = 413,514 × 413,514
4. Step 4: Simplify right side
   191,732x = 170,993,828,196
5. Step 5: Solve for x
   x = 170,993,828,196/191,732
6. Step 6: Final answer
   x = 891,837.71