Finding the Third Proportional to 123,354 and 265,422

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 265,422 = 265,422 : x
2. Step 2: Convert to fraction form
   123,354/265,422 = 265,422/x
3. Step 3: Cross multiply
   123,354x = 265,422 × 265,422
4. Step 4: Simplify right side
   123,354x = 70,448,838,084
5. Step 5: Solve for x
   x = 70,448,838,084/123,354
6. Step 6: Final answer
   x = 571,111.10