Finding the Third Proportional to 103,962 and 165,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,962 : 165,274.50 = 165,274.50 : x
2. Step 2: Convert to fraction form
   103,962/165,274.50 = 165,274.50/x
3. Step 3: Cross multiply
   103,962x = 165,274.50 × 165,274.50
4. Step 4: Simplify right side
   103,962x = 27,315,660,350.25
5. Step 5: Solve for x
   x = 27,315,660,350.25/103,962
6. Step 6: Final answer
   x = 262,746.58