Finding the Third Proportional to 152,714 and 236,496

Step by Step Solution

1. Step 1: Write the proportion equation
   152,714 : 236,496 = 236,496 : x
2. Step 2: Convert to fraction form
   152,714/236,496 = 236,496/x
3. Step 3: Cross multiply
   152,714x = 236,496 × 236,496
4. Step 4: Simplify right side
   152,714x = 55,930,358,016
5. Step 5: Solve for x
   x = 55,930,358,016/152,714
6. Step 6: Final answer
   x = 366,242.51