Finding the Third Proportional to 120,784.50 and 280,827

Step by Step Solution

1. Step 1: Write the proportion equation
   120,784.50 : 280,827 = 280,827 : x
2. Step 2: Convert to fraction form
   120,784.50/280,827 = 280,827/x
3. Step 3: Cross multiply
   120,784.50x = 280,827 × 280,827
4. Step 4: Simplify right side
   120,784.50x = 78,863,803,929
5. Step 5: Solve for x
   x = 78,863,803,929/120,784.50
6. Step 6: Final answer
   x = 652,929.84