Finding the Third Proportional to 123,314 and 264,984

Step by Step Solution

1. Step 1: Write the proportion equation
   123,314 : 264,984 = 264,984 : x
2. Step 2: Convert to fraction form
   123,314/264,984 = 264,984/x
3. Step 3: Cross multiply
   123,314x = 264,984 × 264,984
4. Step 4: Simplify right side
   123,314x = 70,216,520,256
5. Step 5: Solve for x
   x = 70,216,520,256/123,314
6. Step 6: Final answer
   x = 569,412.40