Finding the Third Proportional to 1,155,824 and 1,533,658

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155,824 : 1,533,658 = 1,533,658 : x
2. Step 2: Convert to fraction form
   1,155,824/1,533,658 = 1,533,658/x
3. Step 3: Cross multiply
   1,155,824x = 1,533,658 × 1,533,658
4. Step 4: Simplify right side
   1,155,824x = 2,352,106,860,964
5. Step 5: Solve for x
   x = 2,352,106,860,964/1,155,824
6. Step 6: Final answer
   x = 2,035,004.34