Finding the Third Proportional to 103,968 and 165,283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,968 : 165,283.50 = 165,283.50 : x
2. Step 2: Convert to fraction form
   103,968/165,283.50 = 165,283.50/x
3. Step 3: Cross multiply
   103,968x = 165,283.50 × 165,283.50
4. Step 4: Simplify right side
   103,968x = 27,318,635,372.25
5. Step 5: Solve for x
   x = 27,318,635,372.25/103,968
6. Step 6: Final answer
   x = 262,760.04