Finding the Third Proportional to 258,417 and 548,141

Step by Step Solution

1. Step 1: Write the proportion equation
   258,417 : 548,141 = 548,141 : x
2. Step 2: Convert to fraction form
   258,417/548,141 = 548,141/x
3. Step 3: Cross multiply
   258,417x = 548,141 × 548,141
4. Step 4: Simplify right side
   258,417x = 300,458,555,881
5. Step 5: Solve for x
   x = 300,458,555,881/258,417
6. Step 6: Final answer
   x = 1,162,688.82