Finding the Third Proportional to 132,005.25 and 189,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   132,005.25 : 189,164.25 = 189,164.25 : x
2. Step 2: Convert to fraction form
   132,005.25/189,164.25 = 189,164.25/x
3. Step 3: Cross multiply
   132,005.25x = 189,164.25 × 189,164.25
4. Step 4: Simplify right side
   132,005.25x = 35,783,113,478.06
5. Step 5: Solve for x
   x = 35,783,113,478.06/132,005.25
6. Step 6: Final answer
   x = 271,073.41