Finding the Third Proportional to 82.25 and 189.92

Step by Step Solution

1. Step 1: Write the proportion equation
   82.25 : 189.92 = 189.92 : x
2. Step 2: Convert to fraction form
   82.25/189.92 = 189.92/x
3. Step 3: Cross multiply
   82.25x = 189.92 × 189.92
4. Step 4: Simplify right side
   82.25x = 36,070.32
5. Step 5: Solve for x
   x = 36,070.32/82.25
6. Step 6: Final answer
   x = 438.54