Finding the Third Proportional to 64,540 and 139,807

Step by Step Solution

1. Step 1: Write the proportion equation
   64,540 : 139,807 = 139,807 : x
2. Step 2: Convert to fraction form
   64,540/139,807 = 139,807/x
3. Step 3: Cross multiply
   64,540x = 139,807 × 139,807
4. Step 4: Simplify right side
   64,540x = 19,545,997,249
5. Step 5: Solve for x
   x = 19,545,997,249/64,540
6. Step 6: Final answer
   x = 302,850.90