Finding the Third Proportional to 123,128 and 265,088

Step by Step Solution

1. Step 1: Write the proportion equation
   123,128 : 265,088 = 265,088 : x
2. Step 2: Convert to fraction form
   123,128/265,088 = 265,088/x
3. Step 3: Cross multiply
   123,128x = 265,088 × 265,088
4. Step 4: Simplify right side
   123,128x = 70,271,647,744
5. Step 5: Solve for x
   x = 70,271,647,744/123,128
6. Step 6: Final answer
   x = 570,720.29