Finding the Third Proportional to 120,856 and 169,890

Step by Step Solution

1. Step 1: Write the proportion equation
   120,856 : 169,890 = 169,890 : x
2. Step 2: Convert to fraction form
   120,856/169,890 = 169,890/x
3. Step 3: Cross multiply
   120,856x = 169,890 × 169,890
4. Step 4: Simplify right side
   120,856x = 28,862,612,100
5. Step 5: Solve for x
   x = 28,862,612,100/120,856
6. Step 6: Final answer
   x = 238,818.20