Finding the Third Proportional to 185,286 and 282,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,286 : 282,661.50 = 282,661.50 : x
2. Step 2: Convert to fraction form
   185,286/282,661.50 = 282,661.50/x
3. Step 3: Cross multiply
   185,286x = 282,661.50 × 282,661.50
4. Step 4: Simplify right side
   185,286x = 79,897,523,582.25
5. Step 5: Solve for x
   x = 79,897,523,582.25/185,286
6. Step 6: Final answer
   x = 431,211.88