Finding the Third Proportional to 147,872 and 317,884

Step by Step Solution

1. Step 1: Write the proportion equation
   147,872 : 317,884 = 317,884 : x
2. Step 2: Convert to fraction form
   147,872/317,884 = 317,884/x
3. Step 3: Cross multiply
   147,872x = 317,884 × 317,884
4. Step 4: Simplify right side
   147,872x = 101,050,237,456
5. Step 5: Solve for x
   x = 101,050,237,456/147,872
6. Step 6: Final answer
   x = 683,362.89