Finding the Third Proportional to 386,424 and 568,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,424 : 568,441.50 = 568,441.50 : x
2. Step 2: Convert to fraction form
   386,424/568,441.50 = 568,441.50/x
3. Step 3: Cross multiply
   386,424x = 568,441.50 × 568,441.50
4. Step 4: Simplify right side
   386,424x = 323,125,738,922.25
5. Step 5: Solve for x
   x = 323,125,738,922.25/386,424
6. Step 6: Final answer
   x = 836,194.80