Finding the Third Proportional to 117.09 and 176.03

Step by Step Solution

1. Step 1: Write the proportion equation
   117.09 : 176.03 = 176.03 : x
2. Step 2: Convert to fraction form
   117.09/176.03 = 176.03/x
3. Step 3: Cross multiply
   117.09x = 176.03 × 176.03
4. Step 4: Simplify right side
   117.09x = 30,987.00
5. Step 5: Solve for x
   x = 30,987.00/117.09
6. Step 6: Final answer
   x = 264.63