Finding the Third Proportional to 63,072 and 105,116

Step by Step Solution

1. Step 1: Write the proportion equation
   63,072 : 105,116 = 105,116 : x
2. Step 2: Convert to fraction form
   63,072/105,116 = 105,116/x
3. Step 3: Cross multiply
   63,072x = 105,116 × 105,116
4. Step 4: Simplify right side
   63,072x = 11,049,373,456
5. Step 5: Solve for x
   x = 11,049,373,456/63,072
6. Step 6: Final answer
   x = 175,186.67