Finding the Third Proportional to 384,108 and 581,472

Step by Step Solution

1. Step 1: Write the proportion equation
   384,108 : 581,472 = 581,472 : x
2. Step 2: Convert to fraction form
   384,108/581,472 = 581,472/x
3. Step 3: Cross multiply
   384,108x = 581,472 × 581,472
4. Step 4: Simplify right side
   384,108x = 338,109,686,784
5. Step 5: Solve for x
   x = 338,109,686,784/384,108
6. Step 6: Final answer
   x = 880,246.41