Finding the Third Proportional to 74.78 and 109.32

Step by Step Solution

1. Step 1: Write the proportion equation
   74.78 : 109.32 = 109.32 : x
2. Step 2: Convert to fraction form
   74.78/109.32 = 109.32/x
3. Step 3: Cross multiply
   74.78x = 109.32 × 109.32
4. Step 4: Simplify right side
   74.78x = 11,950.50
5. Step 5: Solve for x
   x = 11,950.50/74.78
6. Step 6: Final answer
   x = 159.81