Finding the Third Proportional to 89,924 and 196,980

Step by Step Solution

1. Step 1: Write the proportion equation
   89,924 : 196,980 = 196,980 : x
2. Step 2: Convert to fraction form
   89,924/196,980 = 196,980/x
3. Step 3: Cross multiply
   89,924x = 196,980 × 196,980
4. Step 4: Simplify right side
   89,924x = 38,801,120,400
5. Step 5: Solve for x
   x = 38,801,120,400/89,924
6. Step 6: Final answer
   x = 431,487.93