Finding the Third Proportional to 65,378 and 103,656

Step by Step Solution

1. Step 1: Write the proportion equation
   65,378 : 103,656 = 103,656 : x
2. Step 2: Convert to fraction form
   65,378/103,656 = 103,656/x
3. Step 3: Cross multiply
   65,378x = 103,656 × 103,656
4. Step 4: Simplify right side
   65,378x = 10,744,566,336
5. Step 5: Solve for x
   x = 10,744,566,336/65,378
6. Step 6: Final answer
   x = 164,345.29