Finding the Third Proportional to 510,778 and 1,036,148

Step by Step Solution

1. Step 1: Write the proportion equation
   510,778 : 1,036,148 = 1,036,148 : x
2. Step 2: Convert to fraction form
   510,778/1,036,148 = 1,036,148/x
3. Step 3: Cross multiply
   510,778x = 1,036,148 × 1,036,148
4. Step 4: Simplify right side
   510,778x = 1,073,602,677,904
5. Step 5: Solve for x
   x = 1,073,602,677,904/510,778
6. Step 6: Final answer
   x = 2,101,896.87