Finding the Third Proportional to 108,205 and 231,367

Step by Step Solution

1. Step 1: Write the proportion equation
   108,205 : 231,367 = 231,367 : x
2. Step 2: Convert to fraction form
   108,205/231,367 = 231,367/x
3. Step 3: Cross multiply
   108,205x = 231,367 × 231,367
4. Step 4: Simplify right side
   108,205x = 53,530,688,689
5. Step 5: Solve for x
   x = 53,530,688,689/108,205
6. Step 6: Final answer
   x = 494,715.48