Finding the Third Proportional to 250,824 and 535,665

Step by Step Solution

1. Step 1: Write the proportion equation
   250,824 : 535,665 = 535,665 : x
2. Step 2: Convert to fraction form
   250,824/535,665 = 535,665/x
3. Step 3: Cross multiply
   250,824x = 535,665 × 535,665
4. Step 4: Simplify right side
   250,824x = 286,936,992,225
5. Step 5: Solve for x
   x = 286,936,992,225/250,824
6. Step 6: Final answer
   x = 1,143,977.42