Finding the Third Proportional to 111,756 and 151,864

Step by Step Solution

1. Step 1: Write the proportion equation
   111,756 : 151,864 = 151,864 : x
2. Step 2: Convert to fraction form
   111,756/151,864 = 151,864/x
3. Step 3: Cross multiply
   111,756x = 151,864 × 151,864
4. Step 4: Simplify right side
   111,756x = 23,062,674,496
5. Step 5: Solve for x
   x = 23,062,674,496/111,756
6. Step 6: Final answer
   x = 206,366.32