Finding the Third Proportional to 132,567 and 200,780

Step by Step Solution

1. Step 1: Write the proportion equation
   132,567 : 200,780 = 200,780 : x
2. Step 2: Convert to fraction form
   132,567/200,780 = 200,780/x
3. Step 3: Cross multiply
   132,567x = 200,780 × 200,780
4. Step 4: Simplify right side
   132,567x = 40,312,608,400
5. Step 5: Solve for x
   x = 40,312,608,400/132,567
6. Step 6: Final answer
   x = 304,092.33