Finding the Third Proportional to 105,397 and 142,502

Step by Step Solution

1. Step 1: Write the proportion equation
   105,397 : 142,502 = 142,502 : x
2. Step 2: Convert to fraction form
   105,397/142,502 = 142,502/x
3. Step 3: Cross multiply
   105,397x = 142,502 × 142,502
4. Step 4: Simplify right side
   105,397x = 20,306,820,004
5. Step 5: Solve for x
   x = 20,306,820,004/105,397
6. Step 6: Final answer
   x = 192,669.81