Finding the Third Proportional to 110,474 and 172,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,474 : 172,819.50 = 172,819.50 : x
2. Step 2: Convert to fraction form
   110,474/172,819.50 = 172,819.50/x
3. Step 3: Cross multiply
   110,474x = 172,819.50 × 172,819.50
4. Step 4: Simplify right side
   110,474x = 29,866,579,580.25
5. Step 5: Solve for x
   x = 29,866,579,580.25/110,474
6. Step 6: Final answer
   x = 270,349.40