Finding the Third Proportional to 123,167 and 265,329

Step by Step Solution

1. Step 1: Write the proportion equation
   123,167 : 265,329 = 265,329 : x
2. Step 2: Convert to fraction form
   123,167/265,329 = 265,329/x
3. Step 3: Cross multiply
   123,167x = 265,329 × 265,329
4. Step 4: Simplify right side
   123,167x = 70,399,478,241
5. Step 5: Solve for x
   x = 70,399,478,241/123,167
6. Step 6: Final answer
   x = 571,577.44