Finding the Third Proportional to 134,914 and 208,456

Step by Step Solution

1. Step 1: Write the proportion equation
   134,914 : 208,456 = 208,456 : x
2. Step 2: Convert to fraction form
   134,914/208,456 = 208,456/x
3. Step 3: Cross multiply
   134,914x = 208,456 × 208,456
4. Step 4: Simplify right side
   134,914x = 43,453,903,936
5. Step 5: Solve for x
   x = 43,453,903,936/134,914
6. Step 6: Final answer
   x = 322,085.95