Finding the Third Proportional to 120,240 and 258,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   120,240 : 258,567.75 = 258,567.75 : x
2. Step 2: Convert to fraction form
   120,240/258,567.75 = 258,567.75/x
3. Step 3: Cross multiply
   120,240x = 258,567.75 × 258,567.75
4. Step 4: Simplify right side
   120,240x = 66,857,281,340.06
5. Step 5: Solve for x
   x = 66,857,281,340.06/120,240
6. Step 6: Final answer
   x = 556,031.95