Finding the Third Proportional to 264,790 and 370,401

Step by Step Solution

1. Step 1: Write the proportion equation
   264,790 : 370,401 = 370,401 : x
2. Step 2: Convert to fraction form
   264,790/370,401 = 370,401/x
3. Step 3: Cross multiply
   264,790x = 370,401 × 370,401
4. Step 4: Simplify right side
   264,790x = 137,196,900,801
5. Step 5: Solve for x
   x = 137,196,900,801/264,790
6. Step 6: Final answer
   x = 518,134.75