Finding the Third Proportional to 132,405 and 196,036

Step by Step Solution

1. Step 1: Write the proportion equation
   132,405 : 196,036 = 196,036 : x
2. Step 2: Convert to fraction form
   132,405/196,036 = 196,036/x
3. Step 3: Cross multiply
   132,405x = 196,036 × 196,036
4. Step 4: Simplify right side
   132,405x = 38,430,113,296
5. Step 5: Solve for x
   x = 38,430,113,296/132,405
6. Step 6: Final answer
   x = 290,246.69