Finding the Third Proportional to 89,434 and 184,538

Step by Step Solution

1. Step 1: Write the proportion equation
   89,434 : 184,538 = 184,538 : x
2. Step 2: Convert to fraction form
   89,434/184,538 = 184,538/x
3. Step 3: Cross multiply
   89,434x = 184,538 × 184,538
4. Step 4: Simplify right side
   89,434x = 34,054,273,444
5. Step 5: Solve for x
   x = 34,054,273,444/89,434
6. Step 6: Final answer
   x = 380,775.47