Finding the Third Proportional to 105,217.50 and 227,382

Step by Step Solution

1. Step 1: Write the proportion equation
   105,217.50 : 227,382 = 227,382 : x
2. Step 2: Convert to fraction form
   105,217.50/227,382 = 227,382/x
3. Step 3: Cross multiply
   105,217.50x = 227,382 × 227,382
4. Step 4: Simplify right side
   105,217.50x = 51,702,573,924
5. Step 5: Solve for x
   x = 51,702,573,924/105,217.50
6. Step 6: Final answer
   x = 491,387.59