Finding the Third Proportional to 137,304 and 206,658

Step by Step Solution

1. Step 1: Write the proportion equation
   137,304 : 206,658 = 206,658 : x
2. Step 2: Convert to fraction form
   137,304/206,658 = 206,658/x
3. Step 3: Cross multiply
   137,304x = 206,658 × 206,658
4. Step 4: Simplify right side
   137,304x = 42,707,528,964
5. Step 5: Solve for x
   x = 42,707,528,964/137,304
6. Step 6: Final answer
   x = 311,043.59