Finding the Third Proportional to 1,546,408 and 2,312,412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546,408 : 2,312,412 = 2,312,412 : x
2. Step 2: Convert to fraction form
   1,546,408/2,312,412 = 2,312,412/x
3. Step 3: Cross multiply
   1,546,408x = 2,312,412 × 2,312,412
4. Step 4: Simplify right side
   1,546,408x = 5,347,249,257,744
5. Step 5: Solve for x
   x = 5,347,249,257,744/1,546,408
6. Step 6: Final answer
   x = 3,457,851.52