Finding the Third Proportional to 110,858 and 169,054

Step by Step Solution

1. Step 1: Write the proportion equation
   110,858 : 169,054 = 169,054 : x
2. Step 2: Convert to fraction form
   110,858/169,054 = 169,054/x
3. Step 3: Cross multiply
   110,858x = 169,054 × 169,054
4. Step 4: Simplify right side
   110,858x = 28,579,254,916
5. Step 5: Solve for x
   x = 28,579,254,916/110,858
6. Step 6: Final answer
   x = 257,800.56