Finding the Third Proportional to 300,529 and 468,026

Step by Step Solution

1. Step 1: Write the proportion equation
   300,529 : 468,026 = 468,026 : x
2. Step 2: Convert to fraction form
   300,529/468,026 = 468,026/x
3. Step 3: Cross multiply
   300,529x = 468,026 × 468,026
4. Step 4: Simplify right side
   300,529x = 219,048,336,676
5. Step 5: Solve for x
   x = 219,048,336,676/300,529
6. Step 6: Final answer
   x = 728,875.87