Finding the Third Proportional to 120,585 and 261,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,585 : 261,922.50 = 261,922.50 : x
2. Step 2: Convert to fraction form
   120,585/261,922.50 = 261,922.50/x
3. Step 3: Cross multiply
   120,585x = 261,922.50 × 261,922.50
4. Step 4: Simplify right side
   120,585x = 68,603,396,006.25
5. Step 5: Solve for x
   x = 68,603,396,006.25/120,585
6. Step 6: Final answer
   x = 568,921.47