Finding the Third Proportional to 123,378 and 265,466

Step by Step Solution

1. Step 1: Write the proportion equation
   123,378 : 265,466 = 265,466 : x
2. Step 2: Convert to fraction form
   123,378/265,466 = 265,466/x
3. Step 3: Cross multiply
   123,378x = 265,466 × 265,466
4. Step 4: Simplify right side
   123,378x = 70,472,197,156
5. Step 5: Solve for x
   x = 70,472,197,156/123,378
6. Step 6: Final answer
   x = 571,189.33