Finding the Third Proportional to 123,144 and 265,506

Step by Step Solution

1. Step 1: Write the proportion equation
   123,144 : 265,506 = 265,506 : x
2. Step 2: Convert to fraction form
   123,144/265,506 = 265,506/x
3. Step 3: Cross multiply
   123,144x = 265,506 × 265,506
4. Step 4: Simplify right side
   123,144x = 70,493,436,036
5. Step 5: Solve for x
   x = 70,493,436,036/123,144
6. Step 6: Final answer
   x = 572,447.18