Finding the Third Proportional to 41,657 and 89,968

Step by Step Solution

1. Step 1: Write the proportion equation
   41,657 : 89,968 = 89,968 : x
2. Step 2: Convert to fraction form
   41,657/89,968 = 89,968/x
3. Step 3: Cross multiply
   41,657x = 89,968 × 89,968
4. Step 4: Simplify right side
   41,657x = 8,094,241,024
5. Step 5: Solve for x
   x = 8,094,241,024/41,657
6. Step 6: Final answer
   x = 194,306.86