Finding the Third Proportional to 89,382 and 184,950

Step by Step Solution

1. Step 1: Write the proportion equation
   89,382 : 184,950 = 184,950 : x
2. Step 2: Convert to fraction form
   89,382/184,950 = 184,950/x
3. Step 3: Cross multiply
   89,382x = 184,950 × 184,950
4. Step 4: Simplify right side
   89,382x = 34,206,502,500
5. Step 5: Solve for x
   x = 34,206,502,500/89,382
6. Step 6: Final answer
   x = 382,700.12