Finding the Third Proportional to 262,456 and 407,172

Step by Step Solution

1. Step 1: Write the proportion equation
   262,456 : 407,172 = 407,172 : x
2. Step 2: Convert to fraction form
   262,456/407,172 = 407,172/x
3. Step 3: Cross multiply
   262,456x = 407,172 × 407,172
4. Step 4: Simplify right side
   262,456x = 165,789,037,584
5. Step 5: Solve for x
   x = 165,789,037,584/262,456
6. Step 6: Final answer
   x = 631,683.17