Finding the Third Proportional to 116,429.50 and 280,822

Step by Step Solution

1. Step 1: Write the proportion equation
   116,429.50 : 280,822 = 280,822 : x
2. Step 2: Convert to fraction form
   116,429.50/280,822 = 280,822/x
3. Step 3: Cross multiply
   116,429.50x = 280,822 × 280,822
4. Step 4: Simplify right side
   116,429.50x = 78,860,995,684
5. Step 5: Solve for x
   x = 78,860,995,684/116,429.50
6. Step 6: Final answer
   x = 677,328.30