Finding the Third Proportional to 72,635 and 162,280

Step by Step Solution

1. Step 1: Write the proportion equation
   72,635 : 162,280 = 162,280 : x
2. Step 2: Convert to fraction form
   72,635/162,280 = 162,280/x
3. Step 3: Cross multiply
   72,635x = 162,280 × 162,280
4. Step 4: Simplify right side
   72,635x = 26,334,798,400
5. Step 5: Solve for x
   x = 26,334,798,400/72,635
6. Step 6: Final answer
   x = 362,563.48