Finding the Third Proportional to 139,530 and 208,749

Step by Step Solution

1. Step 1: Write the proportion equation
   139,530 : 208,749 = 208,749 : x
2. Step 2: Convert to fraction form
   139,530/208,749 = 208,749/x
3. Step 3: Cross multiply
   139,530x = 208,749 × 208,749
4. Step 4: Simplify right side
   139,530x = 43,576,145,001
5. Step 5: Solve for x
   x = 43,576,145,001/139,530
6. Step 6: Final answer
   x = 312,306.64