Finding the Third Proportional to 162,517 and 259,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,517 : 259,519.50 = 259,519.50 : x
2. Step 2: Convert to fraction form
   162,517/259,519.50 = 259,519.50/x
3. Step 3: Cross multiply
   162,517x = 259,519.50 × 259,519.50
4. Step 4: Simplify right side
   162,517x = 67,350,370,880.25
5. Step 5: Solve for x
   x = 67,350,370,880.25/162,517
6. Step 6: Final answer
   x = 414,420.47