Finding the Third Proportional to 89,430 and 184,530

Step by Step Solution

1. Step 1: Write the proportion equation
   89,430 : 184,530 = 184,530 : x
2. Step 2: Convert to fraction form
   89,430/184,530 = 184,530/x
3. Step 3: Cross multiply
   89,430x = 184,530 × 184,530
4. Step 4: Simplify right side
   89,430x = 34,051,320,900
5. Step 5: Solve for x
   x = 34,051,320,900/89,430
6. Step 6: Final answer
   x = 380,759.49