Finding the Third Proportional to 162,614 and 258,978

Step by Step Solution

1. Step 1: Write the proportion equation
   162,614 : 258,978 = 258,978 : x
2. Step 2: Convert to fraction form
   162,614/258,978 = 258,978/x
3. Step 3: Cross multiply
   162,614x = 258,978 × 258,978
4. Step 4: Simplify right side
   162,614x = 67,069,604,484
5. Step 5: Solve for x
   x = 67,069,604,484/162,614
6. Step 6: Final answer
   x = 412,446.68