Finding the Third Proportional to 2,005,297 and 4,175,824

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,297 : 4,175,824 = 4,175,824 : x
2. Step 2: Convert to fraction form
   2,005,297/4,175,824 = 4,175,824/x
3. Step 3: Cross multiply
   2,005,297x = 4,175,824 × 4,175,824
4. Step 4: Simplify right side
   2,005,297x = 17,437,506,078,976
5. Step 5: Solve for x
   x = 17,437,506,078,976/2,005,297
6. Step 6: Final answer
   x = 8,695,722.42