Finding the Third Proportional to 590,414 and 1,264,814

Step by Step Solution

1. Step 1: Write the proportion equation
   590,414 : 1,264,814 = 1,264,814 : x
2. Step 2: Convert to fraction form
   590,414/1,264,814 = 1,264,814/x
3. Step 3: Cross multiply
   590,414x = 1,264,814 × 1,264,814
4. Step 4: Simplify right side
   590,414x = 1,599,754,454,596
5. Step 5: Solve for x
   x = 1,599,754,454,596/590,414
6. Step 6: Final answer
   x = 2,709,546.95