Finding the Third Proportional to 89,442 and 184,554

Step by Step Solution

1. Step 1: Write the proportion equation
   89,442 : 184,554 = 184,554 : x
2. Step 2: Convert to fraction form
   89,442/184,554 = 184,554/x
3. Step 3: Cross multiply
   89,442x = 184,554 × 184,554
4. Step 4: Simplify right side
   89,442x = 34,060,178,916
5. Step 5: Solve for x
   x = 34,060,178,916/89,442
6. Step 6: Final answer
   x = 380,807.44