Finding the Third Proportional to 259,932 and 380,886

Step by Step Solution

1. Step 1: Write the proportion equation
   259,932 : 380,886 = 380,886 : x
2. Step 2: Convert to fraction form
   259,932/380,886 = 380,886/x
3. Step 3: Cross multiply
   259,932x = 380,886 × 380,886
4. Step 4: Simplify right side
   259,932x = 145,074,144,996
5. Step 5: Solve for x
   x = 145,074,144,996/259,932
6. Step 6: Final answer
   x = 558,123.45