Finding the Third Proportional to 110,047.50 and 174,920.06

Step by Step Solution

1. Step 1: Write the proportion equation
   110,047.50 : 174,920.06 = 174,920.06 : x
2. Step 2: Convert to fraction form
   110,047.50/174,920.06 = 174,920.06/x
3. Step 3: Cross multiply
   110,047.50x = 174,920.06 × 174,920.06
4. Step 4: Simplify right side
   110,047.50x = 30,597,028,265.00
5. Step 5: Solve for x
   x = 30,597,028,265.00/110,047.50
6. Step 6: Final answer
   x = 278,034.74