Finding the Third Proportional to 132,565 and 200,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,565 : 200,776.50 = 200,776.50 : x
2. Step 2: Convert to fraction form
   132,565/200,776.50 = 200,776.50/x
3. Step 3: Cross multiply
   132,565x = 200,776.50 × 200,776.50
4. Step 4: Simplify right side
   132,565x = 40,311,202,952.25
5. Step 5: Solve for x
   x = 40,311,202,952.25/132,565
6. Step 6: Final answer
   x = 304,086.32