Finding the Third Proportional to 123,376 and 265,462

Step by Step Solution

1. Step 1: Write the proportion equation
   123,376 : 265,462 = 265,462 : x
2. Step 2: Convert to fraction form
   123,376/265,462 = 265,462/x
3. Step 3: Cross multiply
   123,376x = 265,462 × 265,462
4. Step 4: Simplify right side
   123,376x = 70,470,073,444
5. Step 5: Solve for x
   x = 70,470,073,444/123,376
6. Step 6: Final answer
   x = 571,181.38