Finding the Third Proportional to 57,876 and 122,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,876 : 122,860.50 = 122,860.50 : x
2. Step 2: Convert to fraction form
   57,876/122,860.50 = 122,860.50/x
3. Step 3: Cross multiply
   57,876x = 122,860.50 × 122,860.50
4. Step 4: Simplify right side
   57,876x = 15,094,702,460.25
5. Step 5: Solve for x
   x = 15,094,702,460.25/57,876
6. Step 6: Final answer
   x = 260,811.09