Finding the Third Proportional to 151,376 and 321,880

Step by Step Solution

1. Step 1: Write the proportion equation
   151,376 : 321,880 = 321,880 : x
2. Step 2: Convert to fraction form
   151,376/321,880 = 321,880/x
3. Step 3: Cross multiply
   151,376x = 321,880 × 321,880
4. Step 4: Simplify right side
   151,376x = 103,606,734,400
5. Step 5: Solve for x
   x = 103,606,734,400/151,376
6. Step 6: Final answer
   x = 684,433.03