Finding the Third Proportional to 262,570.50 and 407,358

Step by Step Solution

1. Step 1: Write the proportion equation
   262,570.50 : 407,358 = 407,358 : x
2. Step 2: Convert to fraction form
   262,570.50/407,358 = 407,358/x
3. Step 3: Cross multiply
   262,570.50x = 407,358 × 407,358
4. Step 4: Simplify right side
   262,570.50x = 165,940,540,164
5. Step 5: Solve for x
   x = 165,940,540,164/262,570.50
6. Step 6: Final answer
   x = 631,984.71