Finding the Third Proportional to 137,144 and 208,612

Step by Step Solution

1. Step 1: Write the proportion equation
   137,144 : 208,612 = 208,612 : x
2. Step 2: Convert to fraction form
   137,144/208,612 = 208,612/x
3. Step 3: Cross multiply
   137,144x = 208,612 × 208,612
4. Step 4: Simplify right side
   137,144x = 43,518,966,544
5. Step 5: Solve for x
   x = 43,518,966,544/137,144
6. Step 6: Final answer
   x = 317,323.15