Finding the Third Proportional to 509,050 and 1,096,778

Step by Step Solution

1. Step 1: Write the proportion equation
   509,050 : 1,096,778 = 1,096,778 : x
2. Step 2: Convert to fraction form
   509,050/1,096,778 = 1,096,778/x
3. Step 3: Cross multiply
   509,050x = 1,096,778 × 1,096,778
4. Step 4: Simplify right side
   509,050x = 1,202,921,981,284
5. Step 5: Solve for x
   x = 1,202,921,981,284/509,050
6. Step 6: Final answer
   x = 2,363,072.35