Finding the Third Proportional to 45,942 and 100,089

Step by Step Solution

1. Step 1: Write the proportion equation
   45,942 : 100,089 = 100,089 : x
2. Step 2: Convert to fraction form
   45,942/100,089 = 100,089/x
3. Step 3: Cross multiply
   45,942x = 100,089 × 100,089
4. Step 4: Simplify right side
   45,942x = 10,017,807,921
5. Step 5: Solve for x
   x = 10,017,807,921/45,942
6. Step 6: Final answer
   x = 218,053.37