Finding the Third Proportional to 181,101 and 274,662

Step by Step Solution

1. Step 1: Write the proportion equation
   181,101 : 274,662 = 274,662 : x
2. Step 2: Convert to fraction form
   181,101/274,662 = 274,662/x
3. Step 3: Cross multiply
   181,101x = 274,662 × 274,662
4. Step 4: Simplify right side
   181,101x = 75,439,214,244
5. Step 5: Solve for x
   x = 75,439,214,244/181,101
6. Step 6: Final answer
   x = 416,558.79