Finding the Third Proportional to 115,816.50 and 174,003

Step by Step Solution

1. Step 1: Write the proportion equation
   115,816.50 : 174,003 = 174,003 : x
2. Step 2: Convert to fraction form
   115,816.50/174,003 = 174,003/x
3. Step 3: Cross multiply
   115,816.50x = 174,003 × 174,003
4. Step 4: Simplify right side
   115,816.50x = 30,277,044,009
5. Step 5: Solve for x
   x = 30,277,044,009/115,816.50
6. Step 6: Final answer
   x = 261,422.54