Finding the Third Proportional to 115,817.50 and 174,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,817.50 : 174,004.50 = 174,004.50 : x
2. Step 2: Convert to fraction form
   115,817.50/174,004.50 = 174,004.50/x
3. Step 3: Cross multiply
   115,817.50x = 174,004.50 × 174,004.50
4. Step 4: Simplify right side
   115,817.50x = 30,277,566,020.25
5. Step 5: Solve for x
   x = 30,277,566,020.25/115,817.50
6. Step 6: Final answer
   x = 261,424.79