Finding the Third Proportional to 65,748 and 106,818

Step by Step Solution

1. Step 1: Write the proportion equation
   65,748 : 106,818 = 106,818 : x
2. Step 2: Convert to fraction form
   65,748/106,818 = 106,818/x
3. Step 3: Cross multiply
   65,748x = 106,818 × 106,818
4. Step 4: Simplify right side
   65,748x = 11,410,085,124
5. Step 5: Solve for x
   x = 11,410,085,124/65,748
6. Step 6: Final answer
   x = 173,542.70