Finding the Third Proportional to 89,140 and 185,753

Step by Step Solution

1. Step 1: Write the proportion equation
   89,140 : 185,753 = 185,753 : x
2. Step 2: Convert to fraction form
   89,140/185,753 = 185,753/x
3. Step 3: Cross multiply
   89,140x = 185,753 × 185,753
4. Step 4: Simplify right side
   89,140x = 34,504,177,009
5. Step 5: Solve for x
   x = 34,504,177,009/89,140
6. Step 6: Final answer
   x = 387,078.49