Finding the Third Proportional to 288,156 and 422,892

Step by Step Solution

1. Step 1: Write the proportion equation
   288,156 : 422,892 = 422,892 : x
2. Step 2: Convert to fraction form
   288,156/422,892 = 422,892/x
3. Step 3: Cross multiply
   288,156x = 422,892 × 422,892
4. Step 4: Simplify right side
   288,156x = 178,837,643,664
5. Step 5: Solve for x
   x = 178,837,643,664/288,156
6. Step 6: Final answer
   x = 620,627.87