Finding the Third Proportional to 89,250 and 185,892

Step by Step Solution

1. Step 1: Write the proportion equation
   89,250 : 185,892 = 185,892 : x
2. Step 2: Convert to fraction form
   89,250/185,892 = 185,892/x
3. Step 3: Cross multiply
   89,250x = 185,892 × 185,892
4. Step 4: Simplify right side
   89,250x = 34,555,835,664
5. Step 5: Solve for x
   x = 34,555,835,664/89,250
6. Step 6: Final answer
   x = 387,180.23