Finding the Third Proportional to 55,442.50 and 118,823

Step by Step Solution

1. Step 1: Write the proportion equation
   55,442.50 : 118,823 = 118,823 : x
2. Step 2: Convert to fraction form
   55,442.50/118,823 = 118,823/x
3. Step 3: Cross multiply
   55,442.50x = 118,823 × 118,823
4. Step 4: Simplify right side
   55,442.50x = 14,118,905,329
5. Step 5: Solve for x
   x = 14,118,905,329/55,442.50
6. Step 6: Final answer
   x = 254,658.53