Finding the Third Proportional to 43,870 and 96,484

Step by Step Solution

1. Step 1: Write the proportion equation
   43,870 : 96,484 = 96,484 : x
2. Step 2: Convert to fraction form
   43,870/96,484 = 96,484/x
3. Step 3: Cross multiply
   43,870x = 96,484 × 96,484
4. Step 4: Simplify right side
   43,870x = 9,309,162,256
5. Step 5: Solve for x
   x = 9,309,162,256/43,870
6. Step 6: Final answer
   x = 212,198.82