Finding the Third Proportional to 102,382 and 224,447.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,382 : 224,447.25 = 224,447.25 : x
2. Step 2: Convert to fraction form
   102,382/224,447.25 = 224,447.25/x
3. Step 3: Cross multiply
   102,382x = 224,447.25 × 224,447.25
4. Step 4: Simplify right side
   102,382x = 50,376,568,032.56
5. Step 5: Solve for x
   x = 50,376,568,032.56/102,382
6. Step 6: Final answer
   x = 492,045.16