Finding the Third Proportional to 70,106 and 105,995

Step by Step Solution

1. Step 1: Write the proportion equation
   70,106 : 105,995 = 105,995 : x
2. Step 2: Convert to fraction form
   70,106/105,995 = 105,995/x
3. Step 3: Cross multiply
   70,106x = 105,995 × 105,995
4. Step 4: Simplify right side
   70,106x = 11,234,940,025
5. Step 5: Solve for x
   x = 11,234,940,025/70,106
6. Step 6: Final answer
   x = 160,256.47