Finding the Third Proportional to 185,592 and 282,078

Step by Step Solution

1. Step 1: Write the proportion equation
   185,592 : 282,078 = 282,078 : x
2. Step 2: Convert to fraction form
   185,592/282,078 = 282,078/x
3. Step 3: Cross multiply
   185,592x = 282,078 × 282,078
4. Step 4: Simplify right side
   185,592x = 79,567,998,084
5. Step 5: Solve for x
   x = 79,567,998,084/185,592
6. Step 6: Final answer
   x = 428,725.37