Finding the Third Proportional to 76,456 and 162,200

Step by Step Solution

1. Step 1: Write the proportion equation
   76,456 : 162,200 = 162,200 : x
2. Step 2: Convert to fraction form
   76,456/162,200 = 162,200/x
3. Step 3: Cross multiply
   76,456x = 162,200 × 162,200
4. Step 4: Simplify right side
   76,456x = 26,308,840,000
5. Step 5: Solve for x
   x = 26,308,840,000/76,456
6. Step 6: Final answer
   x = 344,104.32