Finding the Third Proportional to 300,356 and 419,916

Step by Step Solution

1. Step 1: Write the proportion equation
   300,356 : 419,916 = 419,916 : x
2. Step 2: Convert to fraction form
   300,356/419,916 = 419,916/x
3. Step 3: Cross multiply
   300,356x = 419,916 × 419,916
4. Step 4: Simplify right side
   300,356x = 176,329,447,056
5. Step 5: Solve for x
   x = 176,329,447,056/300,356
6. Step 6: Final answer
   x = 587,068.17