Finding the Third Proportional to 89,928 and 196,988

Step by Step Solution

1. Step 1: Write the proportion equation
   89,928 : 196,988 = 196,988 : x
2. Step 2: Convert to fraction form
   89,928/196,988 = 196,988/x
3. Step 3: Cross multiply
   89,928x = 196,988 × 196,988
4. Step 4: Simplify right side
   89,928x = 38,804,272,144
5. Step 5: Solve for x
   x = 38,804,272,144/89,928
6. Step 6: Final answer
   x = 431,503.78