Finding the Third Proportional to 51,610 and 105,408

Step by Step Solution

1. Step 1: Write the proportion equation
   51,610 : 105,408 = 105,408 : x
2. Step 2: Convert to fraction form
   51,610/105,408 = 105,408/x
3. Step 3: Cross multiply
   51,610x = 105,408 × 105,408
4. Step 4: Simplify right side
   51,610x = 11,110,846,464
5. Step 5: Solve for x
   x = 11,110,846,464/51,610
6. Step 6: Final answer
   x = 215,284.76