Finding the Third Proportional to 165,780 and 254,958

Step by Step Solution

1. Step 1: Write the proportion equation
   165,780 : 254,958 = 254,958 : x
2. Step 2: Convert to fraction form
   165,780/254,958 = 254,958/x
3. Step 3: Cross multiply
   165,780x = 254,958 × 254,958
4. Step 4: Simplify right side
   165,780x = 65,003,581,764
5. Step 5: Solve for x
   x = 65,003,581,764/165,780
6. Step 6: Final answer
   x = 392,107.50