Finding the Third Proportional to 105,084 and 144,501

Step by Step Solution

1. Step 1: Write the proportion equation
   105,084 : 144,501 = 144,501 : x
2. Step 2: Convert to fraction form
   105,084/144,501 = 144,501/x
3. Step 3: Cross multiply
   105,084x = 144,501 × 144,501
4. Step 4: Simplify right side
   105,084x = 20,880,539,001
5. Step 5: Solve for x
   x = 20,880,539,001/105,084
6. Step 6: Final answer
   x = 198,703.31