Finding the Third Proportional to 65,434 and 103,778

Step by Step Solution

1. Step 1: Write the proportion equation
   65,434 : 103,778 = 103,778 : x
2. Step 2: Convert to fraction form
   65,434/103,778 = 103,778/x
3. Step 3: Cross multiply
   65,434x = 103,778 × 103,778
4. Step 4: Simplify right side
   65,434x = 10,769,873,284
5. Step 5: Solve for x
   x = 10,769,873,284/65,434
6. Step 6: Final answer
   x = 164,591.39