Finding the Third Proportional to 165,674 and 255,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,674 : 255,025.50 = 255,025.50 : x
2. Step 2: Convert to fraction form
   165,674/255,025.50 = 255,025.50/x
3. Step 3: Cross multiply
   165,674x = 255,025.50 × 255,025.50
4. Step 4: Simplify right side
   165,674x = 65,038,005,650.25
5. Step 5: Solve for x
   x = 65,038,005,650.25/165,674
6. Step 6: Final answer
   x = 392,566.16