Finding the Third Proportional to 85,708 and 184,570

Step by Step Solution

1. Step 1: Write the proportion equation
   85,708 : 184,570 = 184,570 : x
2. Step 2: Convert to fraction form
   85,708/184,570 = 184,570/x
3. Step 3: Cross multiply
   85,708x = 184,570 × 184,570
4. Step 4: Simplify right side
   85,708x = 34,066,084,900
5. Step 5: Solve for x
   x = 34,066,084,900/85,708
6. Step 6: Final answer
   x = 397,466.80