Finding the Third Proportional to 108,146 and 144,661

Step by Step Solution

1. Step 1: Write the proportion equation
   108,146 : 144,661 = 144,661 : x
2. Step 2: Convert to fraction form
   108,146/144,661 = 144,661/x
3. Step 3: Cross multiply
   108,146x = 144,661 × 144,661
4. Step 4: Simplify right side
   108,146x = 20,926,804,921
5. Step 5: Solve for x
   x = 20,926,804,921/108,146
6. Step 6: Final answer
   x = 193,505.12