Finding the Third Proportional to 64,616 and 137,049

Step by Step Solution

1. Step 1: Write the proportion equation
   64,616 : 137,049 = 137,049 : x
2. Step 2: Convert to fraction form
   64,616/137,049 = 137,049/x
3. Step 3: Cross multiply
   64,616x = 137,049 × 137,049
4. Step 4: Simplify right side
   64,616x = 18,782,428,401
5. Step 5: Solve for x
   x = 18,782,428,401/64,616
6. Step 6: Final answer
   x = 290,677.67