Finding the Third Proportional to 258,468 and 548,196

Step by Step Solution

1. Step 1: Write the proportion equation
   258,468 : 548,196 = 548,196 : x
2. Step 2: Convert to fraction form
   258,468/548,196 = 548,196/x
3. Step 3: Cross multiply
   258,468x = 548,196 × 548,196
4. Step 4: Simplify right side
   258,468x = 300,518,854,416
5. Step 5: Solve for x
   x = 300,518,854,416/258,468
6. Step 6: Final answer
   x = 1,162,692.69