Finding the Third Proportional to 1,589,824 and 2,363,136

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589,824 : 2,363,136 = 2,363,136 : x
2. Step 2: Convert to fraction form
   1,589,824/2,363,136 = 2,363,136/x
3. Step 3: Cross multiply
   1,589,824x = 2,363,136 × 2,363,136
4. Step 4: Simplify right side
   1,589,824x = 5,584,411,754,496
5. Step 5: Solve for x
   x = 5,584,411,754,496/1,589,824
6. Step 6: Final answer
   x = 3,512,597.47