Finding the Third Proportional to 109,176 and 165,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,176 : 165,733.50 = 165,733.50 : x
2. Step 2: Convert to fraction form
   109,176/165,733.50 = 165,733.50/x
3. Step 3: Cross multiply
   109,176x = 165,733.50 × 165,733.50
4. Step 4: Simplify right side
   109,176x = 27,467,593,022.25
5. Step 5: Solve for x
   x = 27,467,593,022.25/109,176
6. Step 6: Final answer
   x = 251,590.03