Finding the Third Proportional to 81,804 and 178,826

Step by Step Solution

1. Step 1: Write the proportion equation
   81,804 : 178,826 = 178,826 : x
2. Step 2: Convert to fraction form
   81,804/178,826 = 178,826/x
3. Step 3: Cross multiply
   81,804x = 178,826 × 178,826
4. Step 4: Simplify right side
   81,804x = 31,978,738,276
5. Step 5: Solve for x
   x = 31,978,738,276/81,804
6. Step 6: Final answer
   x = 390,919.00