Finding the Third Proportional to 152,036 and 238,496

Step by Step Solution

1. Step 1: Write the proportion equation
   152,036 : 238,496 = 238,496 : x
2. Step 2: Convert to fraction form
   152,036/238,496 = 238,496/x
3. Step 3: Cross multiply
   152,036x = 238,496 × 238,496
4. Step 4: Simplify right side
   152,036x = 56,880,342,016
5. Step 5: Solve for x
   x = 56,880,342,016/152,036
6. Step 6: Final answer
   x = 374,124.17