Finding the Third Proportional to 162,981 and 259,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,981 : 259,321.50 = 259,321.50 : x
2. Step 2: Convert to fraction form
   162,981/259,321.50 = 259,321.50/x
3. Step 3: Cross multiply
   162,981x = 259,321.50 × 259,321.50
4. Step 4: Simplify right side
   162,981x = 67,247,640,362.25
5. Step 5: Solve for x
   x = 67,247,640,362.25/162,981
6. Step 6: Final answer
   x = 412,610.31