Finding the Third Proportional to 140,441 and 300,565

Step by Step Solution

1. Step 1: Write the proportion equation
   140,441 : 300,565 = 300,565 : x
2. Step 2: Convert to fraction form
   140,441/300,565 = 300,565/x
3. Step 3: Cross multiply
   140,441x = 300,565 × 300,565
4. Step 4: Simplify right side
   140,441x = 90,339,319,225
5. Step 5: Solve for x
   x = 90,339,319,225/140,441
6. Step 6: Final answer
   x = 643,254.60