Finding the Third Proportional to 165,759 and 254,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,759 : 254,935.50 = 254,935.50 : x
2. Step 2: Convert to fraction form
   165,759/254,935.50 = 254,935.50/x
3. Step 3: Cross multiply
   165,759x = 254,935.50 × 254,935.50
4. Step 4: Simplify right side
   165,759x = 64,992,109,160.25
5. Step 5: Solve for x
   x = 64,992,109,160.25/165,759
6. Step 6: Final answer
   x = 392,087.97