Finding the Third Proportional to 123,120 and 191,016

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 191,016 = 191,016 : x
2. Step 2: Convert to fraction form
   123,120/191,016 = 191,016/x
3. Step 3: Cross multiply
   123,120x = 191,016 × 191,016
4. Step 4: Simplify right side
   123,120x = 36,487,112,256
5. Step 5: Solve for x
   x = 36,487,112,256/123,120
6. Step 6: Final answer
   x = 296,354.06