Finding the Third Proportional to 123,120 and 265,928

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 265,928 = 265,928 : x
2. Step 2: Convert to fraction form
   123,120/265,928 = 265,928/x
3. Step 3: Cross multiply
   123,120x = 265,928 × 265,928
4. Step 4: Simplify right side
   123,120x = 70,717,701,184
5. Step 5: Solve for x
   x = 70,717,701,184/123,120
6. Step 6: Final answer
   x = 574,380.29