Finding the Third Proportional to 89,438 and 184,546

Step by Step Solution

1. Step 1: Write the proportion equation
   89,438 : 184,546 = 184,546 : x
2. Step 2: Convert to fraction form
   89,438/184,546 = 184,546/x
3. Step 3: Cross multiply
   89,438x = 184,546 × 184,546
4. Step 4: Simplify right side
   89,438x = 34,057,226,116
5. Step 5: Solve for x
   x = 34,057,226,116/89,438
6. Step 6: Final answer
   x = 380,791.45