Finding the Third Proportional to 132,589 and 200,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,589 : 200,809.50 = 200,809.50 : x
2. Step 2: Convert to fraction form
   132,589/200,809.50 = 200,809.50/x
3. Step 3: Cross multiply
   132,589x = 200,809.50 × 200,809.50
4. Step 4: Simplify right side
   132,589x = 40,324,455,290.25
5. Step 5: Solve for x
   x = 40,324,455,290.25/132,589
6. Step 6: Final answer
   x = 304,131.23