Finding the Third Proportional to 152,619 and 233,483

Step by Step Solution

1. Step 1: Write the proportion equation
   152,619 : 233,483 = 233,483 : x
2. Step 2: Convert to fraction form
   152,619/233,483 = 233,483/x
3. Step 3: Cross multiply
   152,619x = 233,483 × 233,483
4. Step 4: Simplify right side
   152,619x = 54,514,311,289
5. Step 5: Solve for x
   x = 54,514,311,289/152,619
6. Step 6: Final answer
   x = 357,192.17