Finding the Third Proportional to 123,627.75 and 191,274

Step by Step Solution

1. Step 1: Write the proportion equation
   123,627.75 : 191,274 = 191,274 : x
2. Step 2: Convert to fraction form
   123,627.75/191,274 = 191,274/x
3. Step 3: Cross multiply
   123,627.75x = 191,274 × 191,274
4. Step 4: Simplify right side
   123,627.75x = 36,585,743,076
5. Step 5: Solve for x
   x = 36,585,743,076/123,627.75
6. Step 6: Final answer
   x = 295,934.72