Finding the Third Proportional to 137,782 and 195,030

Step by Step Solution

1. Step 1: Write the proportion equation
   137,782 : 195,030 = 195,030 : x
2. Step 2: Convert to fraction form
   137,782/195,030 = 195,030/x
3. Step 3: Cross multiply
   137,782x = 195,030 × 195,030
4. Step 4: Simplify right side
   137,782x = 38,036,700,900
5. Step 5: Solve for x
   x = 38,036,700,900/137,782
6. Step 6: Final answer
   x = 276,064.37