Finding the Third Proportional to 121,682 and 181,510

Step by Step Solution

1. Step 1: Write the proportion equation
   121,682 : 181,510 = 181,510 : x
2. Step 2: Convert to fraction form
   121,682/181,510 = 181,510/x
3. Step 3: Cross multiply
   121,682x = 181,510 × 181,510
4. Step 4: Simplify right side
   121,682x = 32,945,880,100
5. Step 5: Solve for x
   x = 32,945,880,100/121,682
6. Step 6: Final answer
   x = 270,753.93