Finding the Third Proportional to 82.13 and 188.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.13 : 188.06 = 188.06 : x
2. Step 2: Convert to fraction form
   82.13/188.06 = 188.06/x
3. Step 3: Cross multiply
   82.13x = 188.06 × 188.06
4. Step 4: Simplify right side
   82.13x = 35,367.50
5. Step 5: Solve for x
   x = 35,367.50/82.13
6. Step 6: Final answer
   x = 430.65