Finding the Third Proportional to 46,778 and 103,404

Step by Step Solution

1. Step 1: Write the proportion equation
   46,778 : 103,404 = 103,404 : x
2. Step 2: Convert to fraction form
   46,778/103,404 = 103,404/x
3. Step 3: Cross multiply
   46,778x = 103,404 × 103,404
4. Step 4: Simplify right side
   46,778x = 10,692,387,216
5. Step 5: Solve for x
   x = 10,692,387,216/46,778
6. Step 6: Final answer
   x = 228,577.26