Finding the Third Proportional to 65,220 and 103,667

Step by Step Solution

1. Step 1: Write the proportion equation
   65,220 : 103,667 = 103,667 : x
2. Step 2: Convert to fraction form
   65,220/103,667 = 103,667/x
3. Step 3: Cross multiply
   65,220x = 103,667 × 103,667
4. Step 4: Simplify right side
   65,220x = 10,746,846,889
5. Step 5: Solve for x
   x = 10,746,846,889/65,220
6. Step 6: Final answer
   x = 164,778.39