Finding the Third Proportional to 120,364.50 and 260,799

Step by Step Solution

1. Step 1: Write the proportion equation
   120,364.50 : 260,799 = 260,799 : x
2. Step 2: Convert to fraction form
   120,364.50/260,799 = 260,799/x
3. Step 3: Cross multiply
   120,364.50x = 260,799 × 260,799
4. Step 4: Simplify right side
   120,364.50x = 68,016,118,401
5. Step 5: Solve for x
   x = 68,016,118,401/120,364.50
6. Step 6: Final answer
   x = 565,084.54