Finding the Third Proportional to 150,120 and 323,514

Step by Step Solution

1. Step 1: Write the proportion equation
   150,120 : 323,514 = 323,514 : x
2. Step 2: Convert to fraction form
   150,120/323,514 = 323,514/x
3. Step 3: Cross multiply
   150,120x = 323,514 × 323,514
4. Step 4: Simplify right side
   150,120x = 104,661,308,196
5. Step 5: Solve for x
   x = 104,661,308,196/150,120
6. Step 6: Final answer
   x = 697,184.31