Finding the Third Proportional to 817,968 and 1,749,664

Step by Step Solution

1. Step 1: Write the proportion equation
   817,968 : 1,749,664 = 1,749,664 : x
2. Step 2: Convert to fraction form
   817,968/1,749,664 = 1,749,664/x
3. Step 3: Cross multiply
   817,968x = 1,749,664 × 1,749,664
4. Step 4: Simplify right side
   817,968x = 3,061,324,112,896
5. Step 5: Solve for x
   x = 3,061,324,112,896/817,968
6. Step 6: Final answer
   x = 3,742,596.43