Finding the Third Proportional to 132,002 and 175,036

Step by Step Solution

1. Step 1: Write the proportion equation
   132,002 : 175,036 = 175,036 : x
2. Step 2: Convert to fraction form
   132,002/175,036 = 175,036/x
3. Step 3: Cross multiply
   132,002x = 175,036 × 175,036
4. Step 4: Simplify right side
   132,002x = 30,637,601,296
5. Step 5: Solve for x
   x = 30,637,601,296/132,002
6. Step 6: Final answer
   x = 232,099.52