Finding the Third Proportional to 123,150 and 265,128

Step by Step Solution

1. Step 1: Write the proportion equation
   123,150 : 265,128 = 265,128 : x
2. Step 2: Convert to fraction form
   123,150/265,128 = 265,128/x
3. Step 3: Cross multiply
   123,150x = 265,128 × 265,128
4. Step 4: Simplify right side
   123,150x = 70,292,856,384
5. Step 5: Solve for x
   x = 70,292,856,384/123,150
6. Step 6: Final answer
   x = 570,790.55