Finding the Third Proportional to 162,208 and 258,300

Step by Step Solution

1. Step 1: Write the proportion equation
   162,208 : 258,300 = 258,300 : x
2. Step 2: Convert to fraction form
   162,208/258,300 = 258,300/x
3. Step 3: Cross multiply
   162,208x = 258,300 × 258,300
4. Step 4: Simplify right side
   162,208x = 66,718,890,000
5. Step 5: Solve for x
   x = 66,718,890,000/162,208
6. Step 6: Final answer
   x = 411,316.89