Finding the Third Proportional to 120,854.50 and 265,874

Step by Step Solution

1. Step 1: Write the proportion equation
   120,854.50 : 265,874 = 265,874 : x
2. Step 2: Convert to fraction form
   120,854.50/265,874 = 265,874/x
3. Step 3: Cross multiply
   120,854.50x = 265,874 × 265,874
4. Step 4: Simplify right side
   120,854.50x = 70,688,983,876
5. Step 5: Solve for x
   x = 70,688,983,876/120,854.50
6. Step 6: Final answer
   x = 584,909.82