Finding the Third Proportional to 132,538 and 200,736

Step by Step Solution

1. Step 1: Write the proportion equation
   132,538 : 200,736 = 200,736 : x
2. Step 2: Convert to fraction form
   132,538/200,736 = 200,736/x
3. Step 3: Cross multiply
   132,538x = 200,736 × 200,736
4. Step 4: Simplify right side
   132,538x = 40,294,941,696
5. Step 5: Solve for x
   x = 40,294,941,696/132,538
6. Step 6: Final answer
   x = 304,025.58