Finding the Third Proportional to 89,976 and 196,536

Step by Step Solution

1. Step 1: Write the proportion equation
   89,976 : 196,536 = 196,536 : x
2. Step 2: Convert to fraction form
   89,976/196,536 = 196,536/x
3. Step 3: Cross multiply
   89,976x = 196,536 × 196,536
4. Step 4: Simplify right side
   89,976x = 38,626,399,296
5. Step 5: Solve for x
   x = 38,626,399,296/89,976
6. Step 6: Final answer
   x = 429,296.69