Finding the Third Proportional to 105,732 and 151,974

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 151,974 = 151,974 : x
2. Step 2: Convert to fraction form
   105,732/151,974 = 151,974/x
3. Step 3: Cross multiply
   105,732x = 151,974 × 151,974
4. Step 4: Simplify right side
   105,732x = 23,096,096,676
5. Step 5: Solve for x
   x = 23,096,096,676/105,732
6. Step 6: Final answer
   x = 218,439.99