Finding the Third Proportional to 140,616 and 205,632

Step by Step Solution

1. Step 1: Write the proportion equation
   140,616 : 205,632 = 205,632 : x
2. Step 2: Convert to fraction form
   140,616/205,632 = 205,632/x
3. Step 3: Cross multiply
   140,616x = 205,632 × 205,632
4. Step 4: Simplify right side
   140,616x = 42,284,519,424
5. Step 5: Solve for x
   x = 42,284,519,424/140,616
6. Step 6: Final answer
   x = 300,709.16