Finding the Third Proportional to 89,688 and 196,869

Step by Step Solution

1. Step 1: Write the proportion equation
   89,688 : 196,869 = 196,869 : x
2. Step 2: Convert to fraction form
   89,688/196,869 = 196,869/x
3. Step 3: Cross multiply
   89,688x = 196,869 × 196,869
4. Step 4: Simplify right side
   89,688x = 38,757,403,161
5. Step 5: Solve for x
   x = 38,757,403,161/89,688
6. Step 6: Final answer
   x = 432,135.88