Finding the Third Proportional to 57,945 and 122,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,945 : 122,116.50 = 122,116.50 : x
2. Step 2: Convert to fraction form
   57,945/122,116.50 = 122,116.50/x
3. Step 3: Cross multiply
   57,945x = 122,116.50 × 122,116.50
4. Step 4: Simplify right side
   57,945x = 14,912,439,572.25
5. Step 5: Solve for x
   x = 14,912,439,572.25/57,945
6. Step 6: Final answer
   x = 257,355.07