Finding the Third Proportional to 510,780 and 1,036,152

Step by Step Solution

1. Step 1: Write the proportion equation
   510,780 : 1,036,152 = 1,036,152 : x
2. Step 2: Convert to fraction form
   510,780/1,036,152 = 1,036,152/x
3. Step 3: Cross multiply
   510,780x = 1,036,152 × 1,036,152
4. Step 4: Simplify right side
   510,780x = 1,073,610,967,104
5. Step 5: Solve for x
   x = 1,073,610,967,104/510,780
6. Step 6: Final answer
   x = 2,101,904.87