Finding the Third Proportional to 89,691 and 196,875

Step by Step Solution

1. Step 1: Write the proportion equation
   89,691 : 196,875 = 196,875 : x
2. Step 2: Convert to fraction form
   89,691/196,875 = 196,875/x
3. Step 3: Cross multiply
   89,691x = 196,875 × 196,875
4. Step 4: Simplify right side
   89,691x = 38,759,765,625
5. Step 5: Solve for x
   x = 38,759,765,625/89,691
6. Step 6: Final answer
   x = 432,147.77