Finding the Third Proportional to 777,825 and 1,166,751

Step by Step Solution

1. Step 1: Write the proportion equation
   777,825 : 1,166,751 = 1,166,751 : x
2. Step 2: Convert to fraction form
   777,825/1,166,751 = 1,166,751/x
3. Step 3: Cross multiply
   777,825x = 1,166,751 × 1,166,751
4. Step 4: Simplify right side
   777,825x = 1,361,307,896,001
5. Step 5: Solve for x
   x = 1,361,307,896,001/777,825
6. Step 6: Final answer
   x = 1,750,146.75