Finding the Third Proportional to 134,880 and 208,404

Step by Step Solution

1. Step 1: Write the proportion equation
   134,880 : 208,404 = 208,404 : x
2. Step 2: Convert to fraction form
   134,880/208,404 = 208,404/x
3. Step 3: Cross multiply
   134,880x = 208,404 × 208,404
4. Step 4: Simplify right side
   134,880x = 43,432,227,216
5. Step 5: Solve for x
   x = 43,432,227,216/134,880
6. Step 6: Final answer
   x = 322,006.43