Finding the Third Proportional to 55,413 and 117,731.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,413 : 117,731.25 = 117,731.25 : x
2. Step 2: Convert to fraction form
   55,413/117,731.25 = 117,731.25/x
3. Step 3: Cross multiply
   55,413x = 117,731.25 × 117,731.25
4. Step 4: Simplify right side
   55,413x = 13,860,647,226.56
5. Step 5: Solve for x
   x = 13,860,647,226.56/55,413
6. Step 6: Final answer
   x = 250,133.49