Finding the Third Proportional to 123,122 and 191,019

Step by Step Solution

1. Step 1: Write the proportion equation
   123,122 : 191,019 = 191,019 : x
2. Step 2: Convert to fraction form
   123,122/191,019 = 191,019/x
3. Step 3: Cross multiply
   123,122x = 191,019 × 191,019
4. Step 4: Simplify right side
   123,122x = 36,488,258,361
5. Step 5: Solve for x
   x = 36,488,258,361/123,122
6. Step 6: Final answer
   x = 296,358.56