Finding the Third Proportional to 140,564 and 301,216

Step by Step Solution

1. Step 1: Write the proportion equation
   140,564 : 301,216 = 301,216 : x
2. Step 2: Convert to fraction form
   140,564/301,216 = 301,216/x
3. Step 3: Cross multiply
   140,564x = 301,216 × 301,216
4. Step 4: Simplify right side
   140,564x = 90,731,078,656
5. Step 5: Solve for x
   x = 90,731,078,656/140,564
6. Step 6: Final answer
   x = 645,478.78