Finding the Third Proportional to 264,792 and 370,404

Step by Step Solution

1. Step 1: Write the proportion equation
   264,792 : 370,404 = 370,404 : x
2. Step 2: Convert to fraction form
   264,792/370,404 = 370,404/x
3. Step 3: Cross multiply
   264,792x = 370,404 × 370,404
4. Step 4: Simplify right side
   264,792x = 137,199,123,216
5. Step 5: Solve for x
   x = 137,199,123,216/264,792
6. Step 6: Final answer
   x = 518,139.23