Finding the Third Proportional to 83,540 and 197,140

Step by Step Solution

1. Step 1: Write the proportion equation
   83,540 : 197,140 = 197,140 : x
2. Step 2: Convert to fraction form
   83,540/197,140 = 197,140/x
3. Step 3: Cross multiply
   83,540x = 197,140 × 197,140
4. Step 4: Simplify right side
   83,540x = 38,864,179,600
5. Step 5: Solve for x
   x = 38,864,179,600/83,540
6. Step 6: Final answer
   x = 465,216.42