Finding the Third Proportional to 150,690 and 233,514

Step by Step Solution

1. Step 1: Write the proportion equation
   150,690 : 233,514 = 233,514 : x
2. Step 2: Convert to fraction form
   150,690/233,514 = 233,514/x
3. Step 3: Cross multiply
   150,690x = 233,514 × 233,514
4. Step 4: Simplify right side
   150,690x = 54,528,788,196
5. Step 5: Solve for x
   x = 54,528,788,196/150,690
6. Step 6: Final answer
   x = 361,860.70