Finding the Third Proportional to 144,992 and 294,082

Step by Step Solution

1. Step 1: Write the proportion equation
   144,992 : 294,082 = 294,082 : x
2. Step 2: Convert to fraction form
   144,992/294,082 = 294,082/x
3. Step 3: Cross multiply
   144,992x = 294,082 × 294,082
4. Step 4: Simplify right side
   144,992x = 86,484,222,724
5. Step 5: Solve for x
   x = 86,484,222,724/144,992
6. Step 6: Final answer
   x = 596,475.82