Finding the Third Proportional to 406,179.50 and 567,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,179.50 : 567,834.50 = 567,834.50 : x
2. Step 2: Convert to fraction form
   406,179.50/567,834.50 = 567,834.50/x
3. Step 3: Cross multiply
   406,179.50x = 567,834.50 × 567,834.50
4. Step 4: Simplify right side
   406,179.50x = 322,436,019,390.25
5. Step 5: Solve for x
   x = 322,436,019,390.25/406,179.50
6. Step 6: Final answer
   x = 793,826.42