Finding the Third Proportional to 103,968 and 165,280

Step by Step Solution

1. Step 1: Write the proportion equation
   103,968 : 165,280 = 165,280 : x
2. Step 2: Convert to fraction form
   103,968/165,280 = 165,280/x
3. Step 3: Cross multiply
   103,968x = 165,280 × 165,280
4. Step 4: Simplify right side
   103,968x = 27,317,478,400
5. Step 5: Solve for x
   x = 27,317,478,400/103,968
6. Step 6: Final answer
   x = 262,748.91