Finding the Third Proportional to 65,434 and 103,780

Step by Step Solution

1. Step 1: Write the proportion equation
   65,434 : 103,780 = 103,780 : x
2. Step 2: Convert to fraction form
   65,434/103,780 = 103,780/x
3. Step 3: Cross multiply
   65,434x = 103,780 × 103,780
4. Step 4: Simplify right side
   65,434x = 10,770,288,400
5. Step 5: Solve for x
   x = 10,770,288,400/65,434
6. Step 6: Final answer
   x = 164,597.74