Finding the Third Proportional to 384,857 and 573,181

Step by Step Solution

1. Step 1: Write the proportion equation
   384,857 : 573,181 = 573,181 : x
2. Step 2: Convert to fraction form
   384,857/573,181 = 573,181/x
3. Step 3: Cross multiply
   384,857x = 573,181 × 573,181
4. Step 4: Simplify right side
   384,857x = 328,536,458,761
5. Step 5: Solve for x
   x = 328,536,458,761/384,857
6. Step 6: Final answer
   x = 853,658.52