Finding the Third Proportional to 78,960 and 102,444

Step by Step Solution

1. Step 1: Write the proportion equation
   78,960 : 102,444 = 102,444 : x
2. Step 2: Convert to fraction form
   78,960/102,444 = 102,444/x
3. Step 3: Cross multiply
   78,960x = 102,444 × 102,444
4. Step 4: Simplify right side
   78,960x = 10,494,773,136
5. Step 5: Solve for x
   x = 10,494,773,136/78,960
6. Step 6: Final answer
   x = 132,912.53