Finding the Third Proportional to 152,646 and 233,514

Step by Step Solution

1. Step 1: Write the proportion equation
   152,646 : 233,514 = 233,514 : x
2. Step 2: Convert to fraction form
   152,646/233,514 = 233,514/x
3. Step 3: Cross multiply
   152,646x = 233,514 × 233,514
4. Step 4: Simplify right side
   152,646x = 54,528,788,196
5. Step 5: Solve for x
   x = 54,528,788,196/152,646
6. Step 6: Final answer
   x = 357,223.83