Finding the Third Proportional to 120,776 and 260,020

Step by Step Solution

1. Step 1: Write the proportion equation
   120,776 : 260,020 = 260,020 : x
2. Step 2: Convert to fraction form
   120,776/260,020 = 260,020/x
3. Step 3: Cross multiply
   120,776x = 260,020 × 260,020
4. Step 4: Simplify right side
   120,776x = 67,610,400,400
5. Step 5: Solve for x
   x = 67,610,400,400/120,776
6. Step 6: Final answer
   x = 559,799.96