Finding the Third Proportional to 262,476 and 407,196

Step by Step Solution

1. Step 1: Write the proportion equation
   262,476 : 407,196 = 407,196 : x
2. Step 2: Convert to fraction form
   262,476/407,196 = 407,196/x
3. Step 3: Cross multiply
   262,476x = 407,196 × 407,196
4. Step 4: Simplify right side
   262,476x = 165,808,582,416
5. Step 5: Solve for x
   x = 165,808,582,416/262,476
6. Step 6: Final answer
   x = 631,709.50