Finding the Third Proportional to 162,124.50 and 258,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,124.50 : 258,997.50 = 258,997.50 : x
2. Step 2: Convert to fraction form
   162,124.50/258,997.50 = 258,997.50/x
3. Step 3: Cross multiply
   162,124.50x = 258,997.50 × 258,997.50
4. Step 4: Simplify right side
   162,124.50x = 67,079,705,006.25
5. Step 5: Solve for x
   x = 67,079,705,006.25/162,124.50
6. Step 6: Final answer
   x = 413,754.28