Finding the Third Proportional to 208,369.50 and 282,336

Step by Step Solution

1. Step 1: Write the proportion equation
   208,369.50 : 282,336 = 282,336 : x
2. Step 2: Convert to fraction form
   208,369.50/282,336 = 282,336/x
3. Step 3: Cross multiply
   208,369.50x = 282,336 × 282,336
4. Step 4: Simplify right side
   208,369.50x = 79,713,616,896
5. Step 5: Solve for x
   x = 79,713,616,896/208,369.50
6. Step 6: Final answer
   x = 382,558.95