Finding the Third Proportional to 300,776 and 423,184

Step by Step Solution

1. Step 1: Write the proportion equation
   300,776 : 423,184 = 423,184 : x
2. Step 2: Convert to fraction form
   300,776/423,184 = 423,184/x
3. Step 3: Cross multiply
   300,776x = 423,184 × 423,184
4. Step 4: Simplify right side
   300,776x = 179,084,697,856
5. Step 5: Solve for x
   x = 179,084,697,856/300,776
6. Step 6: Final answer
   x = 595,408.87