Finding the Third Proportional to 300,199 and 456,491

Step by Step Solution

1. Step 1: Write the proportion equation
   300,199 : 456,491 = 456,491 : x
2. Step 2: Convert to fraction form
   300,199/456,491 = 456,491/x
3. Step 3: Cross multiply
   300,199x = 456,491 × 456,491
4. Step 4: Simplify right side
   300,199x = 208,384,033,081
5. Step 5: Solve for x
   x = 208,384,033,081/300,199
6. Step 6: Final answer
   x = 694,152.99