Finding the Third Proportional to 105,930 and 165,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,930 : 165,145.50 = 165,145.50 : x
2. Step 2: Convert to fraction form
   105,930/165,145.50 = 165,145.50/x
3. Step 3: Cross multiply
   105,930x = 165,145.50 × 165,145.50
4. Step 4: Simplify right side
   105,930x = 27,273,036,170.25
5. Step 5: Solve for x
   x = 27,273,036,170.25/105,930
6. Step 6: Final answer
   x = 257,462.82