Finding the Third Proportional to 137,664 and 208,384

Step by Step Solution

1. Step 1: Write the proportion equation
   137,664 : 208,384 = 208,384 : x
2. Step 2: Convert to fraction form
   137,664/208,384 = 208,384/x
3. Step 3: Cross multiply
   137,664x = 208,384 × 208,384
4. Step 4: Simplify right side
   137,664x = 43,423,891,456
5. Step 5: Solve for x
   x = 43,423,891,456/137,664
6. Step 6: Final answer
   x = 315,433.89