Finding the Third Proportional to 259,778 and 559,012

Step by Step Solution

1. Step 1: Write the proportion equation
   259,778 : 559,012 = 559,012 : x
2. Step 2: Convert to fraction form
   259,778/559,012 = 559,012/x
3. Step 3: Cross multiply
   259,778x = 559,012 × 559,012
4. Step 4: Simplify right side
   259,778x = 312,494,416,144
5. Step 5: Solve for x
   x = 312,494,416,144/259,778
6. Step 6: Final answer
   x = 1,202,928.72