Finding the Third Proportional to 117.23 and 269.82

Step by Step Solution

1. Step 1: Write the proportion equation
   117.23 : 269.82 = 269.82 : x
2. Step 2: Convert to fraction form
   117.23/269.82 = 269.82/x
3. Step 3: Cross multiply
   117.23x = 269.82 × 269.82
4. Step 4: Simplify right side
   117.23x = 72,800.37
5. Step 5: Solve for x
   x = 72,800.37/117.23
6. Step 6: Final answer
   x = 621.01