Finding the Third Proportional to 120,588 and 261,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,588 : 261,928.50 = 261,928.50 : x
2. Step 2: Convert to fraction form
   120,588/261,928.50 = 261,928.50/x
3. Step 3: Cross multiply
   120,588x = 261,928.50 × 261,928.50
4. Step 4: Simplify right side
   120,588x = 68,606,539,112.25
5. Step 5: Solve for x
   x = 68,606,539,112.25/120,588
6. Step 6: Final answer
   x = 568,933.39