Finding the Third Proportional to 140,567 and 205,578

Step by Step Solution

1. Step 1: Write the proportion equation
   140,567 : 205,578 = 205,578 : x
2. Step 2: Convert to fraction form
   140,567/205,578 = 205,578/x
3. Step 3: Cross multiply
   140,567x = 205,578 × 205,578
4. Step 4: Simplify right side
   140,567x = 42,262,314,084
5. Step 5: Solve for x
   x = 42,262,314,084/140,567
6. Step 6: Final answer
   x = 300,656.02