Finding the Third Proportional to 264,796 and 370,406

Step by Step Solution

1. Step 1: Write the proportion equation
   264,796 : 370,406 = 370,406 : x
2. Step 2: Convert to fraction form
   264,796/370,406 = 370,406/x
3. Step 3: Cross multiply
   264,796x = 370,406 × 370,406
4. Step 4: Simplify right side
   264,796x = 137,200,604,836
5. Step 5: Solve for x
   x = 137,200,604,836/264,796
6. Step 6: Final answer
   x = 518,137.00