Finding the Third Proportional to 579,778 and 801,123

Step by Step Solution

1. Step 1: Write the proportion equation
   579,778 : 801,123 = 801,123 : x
2. Step 2: Convert to fraction form
   579,778/801,123 = 801,123/x
3. Step 3: Cross multiply
   579,778x = 801,123 × 801,123
4. Step 4: Simplify right side
   579,778x = 641,798,061,129
5. Step 5: Solve for x
   x = 641,798,061,129/579,778
6. Step 6: Final answer
   x = 1,106,972.08