Finding the Third Proportional to 51,810.50 and 102,408

Step by Step Solution

1. Step 1: Write the proportion equation
   51,810.50 : 102,408 = 102,408 : x
2. Step 2: Convert to fraction form
   51,810.50/102,408 = 102,408/x
3. Step 3: Cross multiply
   51,810.50x = 102,408 × 102,408
4. Step 4: Simplify right side
   51,810.50x = 10,487,398,464
5. Step 5: Solve for x
   x = 10,487,398,464/51,810.50
6. Step 6: Final answer
   x = 202,418.40