Finding the Third Proportional to 46,780 and 103,408

Step by Step Solution

1. Step 1: Write the proportion equation
   46,780 : 103,408 = 103,408 : x
2. Step 2: Convert to fraction form
   46,780/103,408 = 103,408/x
3. Step 3: Cross multiply
   46,780x = 103,408 × 103,408
4. Step 4: Simplify right side
   46,780x = 10,693,214,464
5. Step 5: Solve for x
   x = 10,693,214,464/46,780
6. Step 6: Final answer
   x = 228,585.17