Finding the Third Proportional to 123,354 and 265,914

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 265,914 = 265,914 : x
2. Step 2: Convert to fraction form
   123,354/265,914 = 265,914/x
3. Step 3: Cross multiply
   123,354x = 265,914 × 265,914
4. Step 4: Simplify right side
   123,354x = 70,710,255,396
5. Step 5: Solve for x
   x = 70,710,255,396/123,354
6. Step 6: Final answer
   x = 573,230.34