Finding the Third Proportional to 165,755 and 254,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,755 : 254,924.50 = 254,924.50 : x
2. Step 2: Convert to fraction form
   165,755/254,924.50 = 254,924.50/x
3. Step 3: Cross multiply
   165,755x = 254,924.50 × 254,924.50
4. Step 4: Simplify right side
   165,755x = 64,986,500,700.25
5. Step 5: Solve for x
   x = 64,986,500,700.25/165,755
6. Step 6: Final answer
   x = 392,063.59