Finding the Third Proportional to 120,589.50 and 262,608

Step by Step Solution

1. Step 1: Write the proportion equation
   120,589.50 : 262,608 = 262,608 : x
2. Step 2: Convert to fraction form
   120,589.50/262,608 = 262,608/x
3. Step 3: Cross multiply
   120,589.50x = 262,608 × 262,608
4. Step 4: Simplify right side
   120,589.50x = 68,962,961,664
5. Step 5: Solve for x
   x = 68,962,961,664/120,589.50
6. Step 6: Final answer
   x = 571,881.98