Finding the Third Proportional to 165,739.50 and 257,094

Step by Step Solution

1. Step 1: Write the proportion equation
   165,739.50 : 257,094 = 257,094 : x
2. Step 2: Convert to fraction form
   165,739.50/257,094 = 257,094/x
3. Step 3: Cross multiply
   165,739.50x = 257,094 × 257,094
4. Step 4: Simplify right side
   165,739.50x = 66,097,324,836
5. Step 5: Solve for x
   x = 66,097,324,836/165,739.50
6. Step 6: Final answer
   x = 398,802.49