Finding the Third Proportional to 152,019 and 238,468

Step by Step Solution

1. Step 1: Write the proportion equation
   152,019 : 238,468 = 238,468 : x
2. Step 2: Convert to fraction form
   152,019/238,468 = 238,468/x
3. Step 3: Cross multiply
   152,019x = 238,468 × 238,468
4. Step 4: Simplify right side
   152,019x = 56,866,987,024
5. Step 5: Solve for x
   x = 56,866,987,024/152,019
6. Step 6: Final answer
   x = 374,078.15