Finding the Third Proportional to 123,384 and 265,480

Step by Step Solution

1. Step 1: Write the proportion equation
   123,384 : 265,480 = 265,480 : x
2. Step 2: Convert to fraction form
   123,384/265,480 = 265,480/x
3. Step 3: Cross multiply
   123,384x = 265,480 × 265,480
4. Step 4: Simplify right side
   123,384x = 70,479,630,400
5. Step 5: Solve for x
   x = 70,479,630,400/123,384
6. Step 6: Final answer
   x = 571,221.80