Finding the Third Proportional to 182,361 and 293,002

Step by Step Solution

1. Step 1: Write the proportion equation
   182,361 : 293,002 = 293,002 : x
2. Step 2: Convert to fraction form
   182,361/293,002 = 293,002/x
3. Step 3: Cross multiply
   182,361x = 293,002 × 293,002
4. Step 4: Simplify right side
   182,361x = 85,850,172,004
5. Step 5: Solve for x
   x = 85,850,172,004/182,361
6. Step 6: Final answer
   x = 470,770.46