Finding the Third Proportional to 78,930 and 120,744

Step by Step Solution

1. Step 1: Write the proportion equation
   78,930 : 120,744 = 120,744 : x
2. Step 2: Convert to fraction form
   78,930/120,744 = 120,744/x
3. Step 3: Cross multiply
   78,930x = 120,744 × 120,744
4. Step 4: Simplify right side
   78,930x = 14,579,113,536
5. Step 5: Solve for x
   x = 14,579,113,536/78,930
6. Step 6: Final answer
   x = 184,709.41