Finding the Third Proportional to 120,567 and 261,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,567 : 261,892.50 = 261,892.50 : x
2. Step 2: Convert to fraction form
   120,567/261,892.50 = 261,892.50/x
3. Step 3: Cross multiply
   120,567x = 261,892.50 × 261,892.50
4. Step 4: Simplify right side
   120,567x = 68,587,681,556.25
5. Step 5: Solve for x
   x = 68,587,681,556.25/120,567
6. Step 6: Final answer
   x = 568,876.07