Finding the Third Proportional to 137,304 and 207,144

Step by Step Solution

1. Step 1: Write the proportion equation
   137,304 : 207,144 = 207,144 : x
2. Step 2: Convert to fraction form
   137,304/207,144 = 207,144/x
3. Step 3: Cross multiply
   137,304x = 207,144 × 207,144
4. Step 4: Simplify right side
   137,304x = 42,908,636,736
5. Step 5: Solve for x
   x = 42,908,636,736/137,304
6. Step 6: Final answer
   x = 312,508.28