Finding the Third Proportional to 384,814.50 and 591,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,814.50 : 591,982.50 = 591,982.50 : x
2. Step 2: Convert to fraction form
   384,814.50/591,982.50 = 591,982.50/x
3. Step 3: Cross multiply
   384,814.50x = 591,982.50 × 591,982.50
4. Step 4: Simplify right side
   384,814.50x = 350,443,280,306.25
5. Step 5: Solve for x
   x = 350,443,280,306.25/384,814.50
6. Step 6: Final answer
   x = 910,681.07