Finding the Third Proportional to 115,689.50 and 174,764

Step by Step Solution

1. Step 1: Write the proportion equation
   115,689.50 : 174,764 = 174,764 : x
2. Step 2: Convert to fraction form
   115,689.50/174,764 = 174,764/x
3. Step 3: Cross multiply
   115,689.50x = 174,764 × 174,764
4. Step 4: Simplify right side
   115,689.50x = 30,542,455,696
5. Step 5: Solve for x
   x = 30,542,455,696/115,689.50
6. Step 6: Final answer
   x = 264,003.70