Finding the Third Proportional to 107,466 and 165,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,466 : 165,709.50 = 165,709.50 : x
2. Step 2: Convert to fraction form
   107,466/165,709.50 = 165,709.50/x
3. Step 3: Cross multiply
   107,466x = 165,709.50 × 165,709.50
4. Step 4: Simplify right side
   107,466x = 27,459,638,390.25
5. Step 5: Solve for x
   x = 27,459,638,390.25/107,466
6. Step 6: Final answer
   x = 255,519.31