Finding the Third Proportional to 132,135 and 233,238

Step by Step Solution

1. Step 1: Write the proportion equation
   132,135 : 233,238 = 233,238 : x
2. Step 2: Convert to fraction form
   132,135/233,238 = 233,238/x
3. Step 3: Cross multiply
   132,135x = 233,238 × 233,238
4. Step 4: Simplify right side
   132,135x = 54,399,964,644
5. Step 5: Solve for x
   x = 54,399,964,644/132,135
6. Step 6: Final answer
   x = 411,699.89