Finding the Third Proportional to 103,683 and 165,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,683 : 165,370.50 = 165,370.50 : x
2. Step 2: Convert to fraction form
   103,683/165,370.50 = 165,370.50/x
3. Step 3: Cross multiply
   103,683x = 165,370.50 × 165,370.50
4. Step 4: Simplify right side
   103,683x = 27,347,402,270.25
5. Step 5: Solve for x
   x = 27,347,402,270.25/103,683
6. Step 6: Final answer
   x = 263,759.75