Finding the Third Proportional to 85.64 and 188.16

Step by Step Solution

1. Step 1: Write the proportion equation
   85.64 : 188.16 = 188.16 : x
2. Step 2: Convert to fraction form
   85.64/188.16 = 188.16/x
3. Step 3: Cross multiply
   85.64x = 188.16 × 188.16
4. Step 4: Simplify right side
   85.64x = 35,402.77
5. Step 5: Solve for x
   x = 35,402.77/85.64
6. Step 6: Final answer
   x = 413.39