Finding the Third Proportional to 89,222 and 185,845

Step by Step Solution

1. Step 1: Write the proportion equation
   89,222 : 185,845 = 185,845 : x
2. Step 2: Convert to fraction form
   89,222/185,845 = 185,845/x
3. Step 3: Cross multiply
   89,222x = 185,845 × 185,845
4. Step 4: Simplify right side
   89,222x = 34,538,364,025
5. Step 5: Solve for x
   x = 34,538,364,025/89,222
6. Step 6: Final answer
   x = 387,105.92