Finding the Third Proportional to 746,844 and 1,638,816

Step by Step Solution

1. Step 1: Write the proportion equation
   746,844 : 1,638,816 = 1,638,816 : x
2. Step 2: Convert to fraction form
   746,844/1,638,816 = 1,638,816/x
3. Step 3: Cross multiply
   746,844x = 1,638,816 × 1,638,816
4. Step 4: Simplify right side
   746,844x = 2,685,717,881,856
5. Step 5: Solve for x
   x = 2,685,717,881,856/746,844
6. Step 6: Final answer
   x = 3,596,089.52