Finding the Third Proportional to 746,694 and 1,638,540

Step by Step Solution

1. Step 1: Write the proportion equation
   746,694 : 1,638,540 = 1,638,540 : x
2. Step 2: Convert to fraction form
   746,694/1,638,540 = 1,638,540/x
3. Step 3: Cross multiply
   746,694x = 1,638,540 × 1,638,540
4. Step 4: Simplify right side
   746,694x = 2,684,813,331,600
5. Step 5: Solve for x
   x = 2,684,813,331,600/746,694
6. Step 6: Final answer
   x = 3,595,600.52