Finding the Third Proportional to 54,764 and 122,002

Step by Step Solution

1. Step 1: Write the proportion equation
   54,764 : 122,002 = 122,002 : x
2. Step 2: Convert to fraction form
   54,764/122,002 = 122,002/x
3. Step 3: Cross multiply
   54,764x = 122,002 × 122,002
4. Step 4: Simplify right side
   54,764x = 14,884,488,004
5. Step 5: Solve for x
   x = 14,884,488,004/54,764
6. Step 6: Final answer
   x = 271,793.29