Finding the Third Proportional to 189,468 and 400,680

Step by Step Solution

1. Step 1: Write the proportion equation
   189,468 : 400,680 = 400,680 : x
2. Step 2: Convert to fraction form
   189,468/400,680 = 400,680/x
3. Step 3: Cross multiply
   189,468x = 400,680 × 400,680
4. Step 4: Simplify right side
   189,468x = 160,544,462,400
5. Step 5: Solve for x
   x = 160,544,462,400/189,468
6. Step 6: Final answer
   x = 847,343.42