Finding the Third Proportional to 89,946 and 197,388

Step by Step Solution

1. Step 1: Write the proportion equation
   89,946 : 197,388 = 197,388 : x
2. Step 2: Convert to fraction form
   89,946/197,388 = 197,388/x
3. Step 3: Cross multiply
   89,946x = 197,388 × 197,388
4. Step 4: Simplify right side
   89,946x = 38,962,022,544
5. Step 5: Solve for x
   x = 38,962,022,544/89,946
6. Step 6: Final answer
   x = 433,171.26