Finding the Third Proportional to 47,382 and 102,054

Step by Step Solution

1. Step 1: Write the proportion equation
   47,382 : 102,054 = 102,054 : x
2. Step 2: Convert to fraction form
   47,382/102,054 = 102,054/x
3. Step 3: Cross multiply
   47,382x = 102,054 × 102,054
4. Step 4: Simplify right side
   47,382x = 10,415,018,916
5. Step 5: Solve for x
   x = 10,415,018,916/47,382
6. Step 6: Final answer
   x = 219,809.61