Finding the Third Proportional to 123,288 and 252,416

Step by Step Solution

1. Step 1: Write the proportion equation
   123,288 : 252,416 = 252,416 : x
2. Step 2: Convert to fraction form
   123,288/252,416 = 252,416/x
3. Step 3: Cross multiply
   123,288x = 252,416 × 252,416
4. Step 4: Simplify right side
   123,288x = 63,713,837,056
5. Step 5: Solve for x
   x = 63,713,837,056/123,288
6. Step 6: Final answer
   x = 516,788.63