Finding the Third Proportional to 137,020 and 204,970

Step by Step Solution

1. Step 1: Write the proportion equation
   137,020 : 204,970 = 204,970 : x
2. Step 2: Convert to fraction form
   137,020/204,970 = 204,970/x
3. Step 3: Cross multiply
   137,020x = 204,970 × 204,970
4. Step 4: Simplify right side
   137,020x = 42,012,700,900
5. Step 5: Solve for x
   x = 42,012,700,900/137,020
6. Step 6: Final answer
   x = 306,617.29