Finding the Third Proportional to 57,966 and 122,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,966 : 122,158.50 = 122,158.50 : x
2. Step 2: Convert to fraction form
   57,966/122,158.50 = 122,158.50/x
3. Step 3: Cross multiply
   57,966x = 122,158.50 × 122,158.50
4. Step 4: Simplify right side
   57,966x = 14,922,699,122.25
5. Step 5: Solve for x
   x = 14,922,699,122.25/57,966
6. Step 6: Final answer
   x = 257,438.83