Finding the Third Proportional to 123,082 and 197,684

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 197,684 = 197,684 : x
2. Step 2: Convert to fraction form
   123,082/197,684 = 197,684/x
3. Step 3: Cross multiply
   123,082x = 197,684 × 197,684
4. Step 4: Simplify right side
   123,082x = 39,078,963,856
5. Step 5: Solve for x
   x = 39,078,963,856/123,082
6. Step 6: Final answer
   x = 317,503.48