Finding the Third Proportional to 43,096 and 89,882

Step by Step Solution

1. Step 1: Write the proportion equation
   43,096 : 89,882 = 89,882 : x
2. Step 2: Convert to fraction form
   43,096/89,882 = 89,882/x
3. Step 3: Cross multiply
   43,096x = 89,882 × 89,882
4. Step 4: Simplify right side
   43,096x = 8,078,773,924
5. Step 5: Solve for x
   x = 8,078,773,924/43,096
6. Step 6: Final answer
   x = 187,459.95