Finding the Third Proportional to 139,538 and 208,760

Step by Step Solution

1. Step 1: Write the proportion equation
   139,538 : 208,760 = 208,760 : x
2. Step 2: Convert to fraction form
   139,538/208,760 = 208,760/x
3. Step 3: Cross multiply
   139,538x = 208,760 × 208,760
4. Step 4: Simplify right side
   139,538x = 43,580,737,600
5. Step 5: Solve for x
   x = 43,580,737,600/139,538
6. Step 6: Final answer
   x = 312,321.64