Finding the Third Proportional to 45,914 and 100,108

Step by Step Solution

1. Step 1: Write the proportion equation
   45,914 : 100,108 = 100,108 : x
2. Step 2: Convert to fraction form
   45,914/100,108 = 100,108/x
3. Step 3: Cross multiply
   45,914x = 100,108 × 100,108
4. Step 4: Simplify right side
   45,914x = 10,021,611,664
5. Step 5: Solve for x
   x = 10,021,611,664/45,914
6. Step 6: Final answer
   x = 218,269.19