Finding the Third Proportional to 89,142 and 184,590

Step by Step Solution

1. Step 1: Write the proportion equation
   89,142 : 184,590 = 184,590 : x
2. Step 2: Convert to fraction form
   89,142/184,590 = 184,590/x
3. Step 3: Cross multiply
   89,142x = 184,590 × 184,590
4. Step 4: Simplify right side
   89,142x = 34,073,468,100
5. Step 5: Solve for x
   x = 34,073,468,100/89,142
6. Step 6: Final answer
   x = 382,238.09