Finding the Third Proportional to 89,368 and 196,447

Step by Step Solution

1. Step 1: Write the proportion equation
   89,368 : 196,447 = 196,447 : x
2. Step 2: Convert to fraction form
   89,368/196,447 = 196,447/x
3. Step 3: Cross multiply
   89,368x = 196,447 × 196,447
4. Step 4: Simplify right side
   89,368x = 38,591,423,809
5. Step 5: Solve for x
   x = 38,591,423,809/89,368
6. Step 6: Final answer
   x = 431,825.98