Finding the Third Proportional to 137,742 and 194,970

Step by Step Solution

1. Step 1: Write the proportion equation
   137,742 : 194,970 = 194,970 : x
2. Step 2: Convert to fraction form
   137,742/194,970 = 194,970/x
3. Step 3: Cross multiply
   137,742x = 194,970 × 194,970
4. Step 4: Simplify right side
   137,742x = 38,013,300,900
5. Step 5: Solve for x
   x = 38,013,300,900/137,742
6. Step 6: Final answer
   x = 275,974.65