Finding the Third Proportional to 48,891 and 76,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,891 : 76,258.50 = 76,258.50 : x
2. Step 2: Convert to fraction form
   48,891/76,258.50 = 76,258.50/x
3. Step 3: Cross multiply
   48,891x = 76,258.50 × 76,258.50
4. Step 4: Simplify right side
   48,891x = 5,815,358,822.25
5. Step 5: Solve for x
   x = 5,815,358,822.25/48,891
6. Step 6: Final answer
   x = 118,945.39