Finding the Third Proportional to 139,563 and 199,341

Step by Step Solution

1. Step 1: Write the proportion equation
   139,563 : 199,341 = 199,341 : x
2. Step 2: Convert to fraction form
   139,563/199,341 = 199,341/x
3. Step 3: Cross multiply
   139,563x = 199,341 × 199,341
4. Step 4: Simplify right side
   139,563x = 39,736,834,281
5. Step 5: Solve for x
   x = 39,736,834,281/139,563
6. Step 6: Final answer
   x = 284,723.27