Finding the Third Proportional to 123,833 and 191,330

Step by Step Solution

1. Step 1: Write the proportion equation
   123,833 : 191,330 = 191,330 : x
2. Step 2: Convert to fraction form
   123,833/191,330 = 191,330/x
3. Step 3: Cross multiply
   123,833x = 191,330 × 191,330
4. Step 4: Simplify right side
   123,833x = 36,607,168,900
5. Step 5: Solve for x
   x = 36,607,168,900/123,833
6. Step 6: Final answer
   x = 295,617.23