Finding the Third Proportional to 123,128 and 265,696

Step by Step Solution

1. Step 1: Write the proportion equation
   123,128 : 265,696 = 265,696 : x
2. Step 2: Convert to fraction form
   123,128/265,696 = 265,696/x
3. Step 3: Cross multiply
   123,128x = 265,696 × 265,696
4. Step 4: Simplify right side
   123,128x = 70,594,364,416
5. Step 5: Solve for x
   x = 70,594,364,416/123,128
6. Step 6: Final answer
   x = 573,341.27