Finding the Third Proportional to 191,632 and 407,456

Step by Step Solution

1. Step 1: Write the proportion equation
   191,632 : 407,456 = 407,456 : x
2. Step 2: Convert to fraction form
   191,632/407,456 = 407,456/x
3. Step 3: Cross multiply
   191,632x = 407,456 × 407,456
4. Step 4: Simplify right side
   191,632x = 166,020,391,936
5. Step 5: Solve for x
   x = 166,020,391,936/191,632
6. Step 6: Final answer
   x = 866,350.05