Finding the Third Proportional to 419,823 and 488,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,823 : 488,065.50 = 488,065.50 : x
2. Step 2: Convert to fraction form
   419,823/488,065.50 = 488,065.50/x
3. Step 3: Cross multiply
   419,823x = 488,065.50 × 488,065.50
4. Step 4: Simplify right side
   419,823x = 238,207,932,290.25
5. Step 5: Solve for x
   x = 238,207,932,290.25/419,823
6. Step 6: Final answer
   x = 567,400.86