Finding the Third Proportional to 152,982 and 236,304

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 236,304 = 236,304 : x
2. Step 2: Convert to fraction form
   152,982/236,304 = 236,304/x
3. Step 3: Cross multiply
   152,982x = 236,304 × 236,304
4. Step 4: Simplify right side
   152,982x = 55,839,580,416
5. Step 5: Solve for x
   x = 55,839,580,416/152,982
6. Step 6: Final answer
   x = 365,007.52