Finding the Third Proportional to 65,226 and 103,676

Step by Step Solution

1. Step 1: Write the proportion equation
   65,226 : 103,676 = 103,676 : x
2. Step 2: Convert to fraction form
   65,226/103,676 = 103,676/x
3. Step 3: Cross multiply
   65,226x = 103,676 × 103,676
4. Step 4: Simplify right side
   65,226x = 10,748,712,976
5. Step 5: Solve for x
   x = 10,748,712,976/65,226
6. Step 6: Final answer
   x = 164,791.85