Finding the Third Proportional to 123,048 and 265,301

Step by Step Solution

1. Step 1: Write the proportion equation
   123,048 : 265,301 = 265,301 : x
2. Step 2: Convert to fraction form
   123,048/265,301 = 265,301/x
3. Step 3: Cross multiply
   123,048x = 265,301 × 265,301
4. Step 4: Simplify right side
   123,048x = 70,384,620,601
5. Step 5: Solve for x
   x = 70,384,620,601/123,048
6. Step 6: Final answer
   x = 572,009.46