Finding the Third Proportional to 137,778 and 195,010

Step by Step Solution

1. Step 1: Write the proportion equation
   137,778 : 195,010 = 195,010 : x
2. Step 2: Convert to fraction form
   137,778/195,010 = 195,010/x
3. Step 3: Cross multiply
   137,778x = 195,010 × 195,010
4. Step 4: Simplify right side
   137,778x = 38,028,900,100
5. Step 5: Solve for x
   x = 38,028,900,100/137,778
6. Step 6: Final answer
   x = 276,015.77