Finding the Third Proportional to 70,846 and 108,546

Step by Step Solution

1. Step 1: Write the proportion equation
   70,846 : 108,546 = 108,546 : x
2. Step 2: Convert to fraction form
   70,846/108,546 = 108,546/x
3. Step 3: Cross multiply
   70,846x = 108,546 × 108,546
4. Step 4: Simplify right side
   70,846x = 11,782,234,116
5. Step 5: Solve for x
   x = 11,782,234,116/70,846
6. Step 6: Final answer
   x = 166,307.68