Finding the Third Proportional to 384,077.25 and 581,421.38

Step by Step Solution

1. Step 1: Write the proportion equation
   384,077.25 : 581,421.38 = 581,421.38 : x
2. Step 2: Convert to fraction form
   384,077.25/581,421.38 = 581,421.38/x
3. Step 3: Cross multiply
   384,077.25x = 581,421.38 × 581,421.38
4. Step 4: Simplify right side
   384,077.25x = 338,050,815,306.89
5. Step 5: Solve for x
   x = 338,050,815,306.89/384,077.25
6. Step 6: Final answer
   x = 880,163.60