Finding the Third Proportional to 162,506 and 259,500

Step by Step Solution

1. Step 1: Write the proportion equation
   162,506 : 259,500 = 259,500 : x
2. Step 2: Convert to fraction form
   162,506/259,500 = 259,500/x
3. Step 3: Cross multiply
   162,506x = 259,500 × 259,500
4. Step 4: Simplify right side
   162,506x = 67,340,250,000
5. Step 5: Solve for x
   x = 67,340,250,000/162,506
6. Step 6: Final answer
   x = 414,386.24