Finding the Third Proportional to 139,580 and 199,364

Step by Step Solution

1. Step 1: Write the proportion equation
   139,580 : 199,364 = 199,364 : x
2. Step 2: Convert to fraction form
   139,580/199,364 = 199,364/x
3. Step 3: Cross multiply
   139,580x = 199,364 × 199,364
4. Step 4: Simplify right side
   139,580x = 39,746,004,496
5. Step 5: Solve for x
   x = 39,746,004,496/139,580
6. Step 6: Final answer
   x = 284,754.29