Finding the Third Proportional to 123,171 and 265,338

Step by Step Solution

1. Step 1: Write the proportion equation
   123,171 : 265,338 = 265,338 : x
2. Step 2: Convert to fraction form
   123,171/265,338 = 265,338/x
3. Step 3: Cross multiply
   123,171x = 265,338 × 265,338
4. Step 4: Simplify right side
   123,171x = 70,404,254,244
5. Step 5: Solve for x
   x = 70,404,254,244/123,171
6. Step 6: Final answer
   x = 571,597.65