Finding the Third Proportional to 1,843,824 and 2,892,417

Step by Step Solution

1. Step 1: Write the proportion equation
   1,843,824 : 2,892,417 = 2,892,417 : x
2. Step 2: Convert to fraction form
   1,843,824/2,892,417 = 2,892,417/x
3. Step 3: Cross multiply
   1,843,824x = 2,892,417 × 2,892,417
4. Step 4: Simplify right side
   1,843,824x = 8,366,076,101,889
5. Step 5: Solve for x
   x = 8,366,076,101,889/1,843,824
6. Step 6: Final answer
   x = 4,537,350.69