Finding the Third Proportional to 117.38 and 147.69

Step by Step Solution

1. Step 1: Write the proportion equation
   117.38 : 147.69 = 147.69 : x
2. Step 2: Convert to fraction form
   117.38/147.69 = 147.69/x
3. Step 3: Cross multiply
   117.38x = 147.69 × 147.69
4. Step 4: Simplify right side
   117.38x = 21,811.60
5. Step 5: Solve for x
   x = 21,811.60/117.38
6. Step 6: Final answer
   x = 185.83