Finding the Third Proportional to 123,462 and 180,805

Step by Step Solution

1. Step 1: Write the proportion equation
   123,462 : 180,805 = 180,805 : x
2. Step 2: Convert to fraction form
   123,462/180,805 = 180,805/x
3. Step 3: Cross multiply
   123,462x = 180,805 × 180,805
4. Step 4: Simplify right side
   123,462x = 32,690,448,025
5. Step 5: Solve for x
   x = 32,690,448,025/123,462
6. Step 6: Final answer
   x = 264,781.46