Finding the Third Proportional to 165,310.50 and 255,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,310.50 : 255,499.50 = 255,499.50 : x
2. Step 2: Convert to fraction form
   165,310.50/255,499.50 = 255,499.50/x
3. Step 3: Cross multiply
   165,310.50x = 255,499.50 × 255,499.50
4. Step 4: Simplify right side
   165,310.50x = 65,279,994,500.25
5. Step 5: Solve for x
   x = 65,279,994,500.25/165,310.50
6. Step 6: Final answer
   x = 394,893.21