Finding the Third Proportional to 47,439 and 105,382

Step by Step Solution

1. Step 1: Write the proportion equation
   47,439 : 105,382 = 105,382 : x
2. Step 2: Convert to fraction form
   47,439/105,382 = 105,382/x
3. Step 3: Cross multiply
   47,439x = 105,382 × 105,382
4. Step 4: Simplify right side
   47,439x = 11,105,365,924
5. Step 5: Solve for x
   x = 11,105,365,924/47,439
6. Step 6: Final answer
   x = 234,097.81