Finding the Third Proportional to 115,886 and 253,910

Step by Step Solution

1. Step 1: Write the proportion equation
   115,886 : 253,910 = 253,910 : x
2. Step 2: Convert to fraction form
   115,886/253,910 = 253,910/x
3. Step 3: Cross multiply
   115,886x = 253,910 × 253,910
4. Step 4: Simplify right side
   115,886x = 64,470,288,100
5. Step 5: Solve for x
   x = 64,470,288,100/115,886
6. Step 6: Final answer
   x = 556,325.08