Finding the Third Proportional to 139,540 and 208,763

Step by Step Solution

1. Step 1: Write the proportion equation
   139,540 : 208,763 = 208,763 : x
2. Step 2: Convert to fraction form
   139,540/208,763 = 208,763/x
3. Step 3: Cross multiply
   139,540x = 208,763 × 208,763
4. Step 4: Simplify right side
   139,540x = 43,581,990,169
5. Step 5: Solve for x
   x = 43,581,990,169/139,540
6. Step 6: Final answer
   x = 312,326.14