Finding the Third Proportional to 65,386 and 103,668

Step by Step Solution

1. Step 1: Write the proportion equation
   65,386 : 103,668 = 103,668 : x
2. Step 2: Convert to fraction form
   65,386/103,668 = 103,668/x
3. Step 3: Cross multiply
   65,386x = 103,668 × 103,668
4. Step 4: Simplify right side
   65,386x = 10,747,054,224
5. Step 5: Solve for x
   x = 10,747,054,224/65,386
6. Step 6: Final answer
   x = 164,363.23