Finding the Third Proportional to 746,824 and 1,638,800

Step by Step Solution

1. Step 1: Write the proportion equation
   746,824 : 1,638,800 = 1,638,800 : x
2. Step 2: Convert to fraction form
   746,824/1,638,800 = 1,638,800/x
3. Step 3: Cross multiply
   746,824x = 1,638,800 × 1,638,800
4. Step 4: Simplify right side
   746,824x = 2,685,665,440,000
5. Step 5: Solve for x
   x = 2,685,665,440,000/746,824
6. Step 6: Final answer
   x = 3,596,115.60