Finding the Third Proportional to 110,629.50 and 175,898.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,629.50 : 175,898.25 = 175,898.25 : x
2. Step 2: Convert to fraction form
   110,629.50/175,898.25 = 175,898.25/x
3. Step 3: Cross multiply
   110,629.50x = 175,898.25 × 175,898.25
4. Step 4: Simplify right side
   110,629.50x = 30,940,194,353.06
5. Step 5: Solve for x
   x = 30,940,194,353.06/110,629.50
6. Step 6: Final answer
   x = 279,674.00