Finding the Third Proportional to 162,442 and 261,710

Step by Step Solution

1. Step 1: Write the proportion equation
   162,442 : 261,710 = 261,710 : x
2. Step 2: Convert to fraction form
   162,442/261,710 = 261,710/x
3. Step 3: Cross multiply
   162,442x = 261,710 × 261,710
4. Step 4: Simplify right side
   162,442x = 68,492,124,100
5. Step 5: Solve for x
   x = 68,492,124,100/162,442
6. Step 6: Final answer
   x = 421,640.49