Finding the Third Proportional to 85,905 and 184,111

Step by Step Solution

1. Step 1: Write the proportion equation
   85,905 : 184,111 = 184,111 : x
2. Step 2: Convert to fraction form
   85,905/184,111 = 184,111/x
3. Step 3: Cross multiply
   85,905x = 184,111 × 184,111
4. Step 4: Simplify right side
   85,905x = 33,896,860,321
5. Step 5: Solve for x
   x = 33,896,860,321/85,905
6. Step 6: Final answer
   x = 394,585.42