Finding the Third Proportional to 92,140 and 197,384

Step by Step Solution

1. Step 1: Write the proportion equation
   92,140 : 197,384 = 197,384 : x
2. Step 2: Convert to fraction form
   92,140/197,384 = 197,384/x
3. Step 3: Cross multiply
   92,140x = 197,384 × 197,384
4. Step 4: Simplify right side
   92,140x = 38,960,443,456
5. Step 5: Solve for x
   x = 38,960,443,456/92,140
6. Step 6: Final answer
   x = 422,839.63