Finding the Third Proportional to 64,940 and 139,591

Step by Step Solution

1. Step 1: Write the proportion equation
   64,940 : 139,591 = 139,591 : x
2. Step 2: Convert to fraction form
   64,940/139,591 = 139,591/x
3. Step 3: Cross multiply
   64,940x = 139,591 × 139,591
4. Step 4: Simplify right side
   64,940x = 19,485,647,281
5. Step 5: Solve for x
   x = 19,485,647,281/64,940
6. Step 6: Final answer
   x = 300,056.16