Finding the Third Proportional to 119,776.50 and 260,802

Step by Step Solution

1. Step 1: Write the proportion equation
   119,776.50 : 260,802 = 260,802 : x
2. Step 2: Convert to fraction form
   119,776.50/260,802 = 260,802/x
3. Step 3: Cross multiply
   119,776.50x = 260,802 × 260,802
4. Step 4: Simplify right side
   119,776.50x = 68,017,683,204
5. Step 5: Solve for x
   x = 68,017,683,204/119,776.50
6. Step 6: Final answer
   x = 567,871.69