Finding the Third Proportional to 150,544 and 205,056

Step by Step Solution

1. Step 1: Write the proportion equation
   150,544 : 205,056 = 205,056 : x
2. Step 2: Convert to fraction form
   150,544/205,056 = 205,056/x
3. Step 3: Cross multiply
   150,544x = 205,056 × 205,056
4. Step 4: Simplify right side
   150,544x = 42,047,963,136
5. Step 5: Solve for x
   x = 42,047,963,136/150,544
6. Step 6: Final answer
   x = 279,306.80