Finding the Third Proportional to 95,824 and 208,456

Step by Step Solution

1. Step 1: Write the proportion equation
   95,824 : 208,456 = 208,456 : x
2. Step 2: Convert to fraction form
   95,824/208,456 = 208,456/x
3. Step 3: Cross multiply
   95,824x = 208,456 × 208,456
4. Step 4: Simplify right side
   95,824x = 43,453,903,936
5. Step 5: Solve for x
   x = 43,453,903,936/95,824
6. Step 6: Final answer
   x = 453,476.21