Finding the Third Proportional to 85,696 and 184,550

Step by Step Solution

1. Step 1: Write the proportion equation
   85,696 : 184,550 = 184,550 : x
2. Step 2: Convert to fraction form
   85,696/184,550 = 184,550/x
3. Step 3: Cross multiply
   85,696x = 184,550 × 184,550
4. Step 4: Simplify right side
   85,696x = 34,058,702,500
5. Step 5: Solve for x
   x = 34,058,702,500/85,696
6. Step 6: Final answer
   x = 397,436.32