Finding the Third Proportional to 1,584,546 and 3,415,494

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584,546 : 3,415,494 = 3,415,494 : x
2. Step 2: Convert to fraction form
   1,584,546/3,415,494 = 3,415,494/x
3. Step 3: Cross multiply
   1,584,546x = 3,415,494 × 3,415,494
4. Step 4: Simplify right side
   1,584,546x = 11,665,599,264,036
5. Step 5: Solve for x
   x = 11,665,599,264,036/1,584,546
6. Step 6: Final answer
   x = 7,362,108.30