Finding the Third Proportional to 123,162 and 265,316

Step by Step Solution

1. Step 1: Write the proportion equation
   123,162 : 265,316 = 265,316 : x
2. Step 2: Convert to fraction form
   123,162/265,316 = 265,316/x
3. Step 3: Cross multiply
   123,162x = 265,316 × 265,316
4. Step 4: Simplify right side
   123,162x = 70,392,579,856
5. Step 5: Solve for x
   x = 70,392,579,856/123,162
6. Step 6: Final answer
   x = 571,544.63