Finding the Third Proportional to 259,276 and 389,158

Step by Step Solution

1. Step 1: Write the proportion equation
   259,276 : 389,158 = 389,158 : x
2. Step 2: Convert to fraction form
   259,276/389,158 = 389,158/x
3. Step 3: Cross multiply
   259,276x = 389,158 × 389,158
4. Step 4: Simplify right side
   259,276x = 151,443,948,964
5. Step 5: Solve for x
   x = 151,443,948,964/259,276
6. Step 6: Final answer
   x = 584,103.23