Finding the Third Proportional to 108,144 and 144,657

Step by Step Solution

1. Step 1: Write the proportion equation
   108,144 : 144,657 = 144,657 : x
2. Step 2: Convert to fraction form
   108,144/144,657 = 144,657/x
3. Step 3: Cross multiply
   108,144x = 144,657 × 144,657
4. Step 4: Simplify right side
   108,144x = 20,925,647,649
5. Step 5: Solve for x
   x = 20,925,647,649/108,144
6. Step 6: Final answer
   x = 193,498.00