Finding the Third Proportional to 185,004 and 274,896

Step by Step Solution

1. Step 1: Write the proportion equation
   185,004 : 274,896 = 274,896 : x
2. Step 2: Convert to fraction form
   185,004/274,896 = 274,896/x
3. Step 3: Cross multiply
   185,004x = 274,896 × 274,896
4. Step 4: Simplify right side
   185,004x = 75,567,810,816
5. Step 5: Solve for x
   x = 75,567,810,816/185,004
6. Step 6: Final answer
   x = 408,465.82