Finding the Third Proportional to 110,053.50 and 174,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,053.50 : 174,928.50 = 174,928.50 : x
2. Step 2: Convert to fraction form
   110,053.50/174,928.50 = 174,928.50/x
3. Step 3: Cross multiply
   110,053.50x = 174,928.50 × 174,928.50
4. Step 4: Simplify right side
   110,053.50x = 30,599,980,112.25
5. Step 5: Solve for x
   x = 30,599,980,112.25/110,053.50
6. Step 6: Final answer
   x = 278,046.41