Finding the Third Proportional to 123,096 and 265,023

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 265,023 = 265,023 : x
2. Step 2: Convert to fraction form
   123,096/265,023 = 265,023/x
3. Step 3: Cross multiply
   123,096x = 265,023 × 265,023
4. Step 4: Simplify right side
   123,096x = 70,237,190,529
5. Step 5: Solve for x
   x = 70,237,190,529/123,096
6. Step 6: Final answer
   x = 570,588.73