Finding the Third Proportional to 115,174 and 174,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,174 : 174,371.50 = 174,371.50 : x
2. Step 2: Convert to fraction form
   115,174/174,371.50 = 174,371.50/x
3. Step 3: Cross multiply
   115,174x = 174,371.50 × 174,371.50
4. Step 4: Simplify right side
   115,174x = 30,405,420,012.25
5. Step 5: Solve for x
   x = 30,405,420,012.25/115,174
6. Step 6: Final answer
   x = 263,995.52