Finding the Third Proportional to 49,286 and 102,072

Step by Step Solution

1. Step 1: Write the proportion equation
   49,286 : 102,072 = 102,072 : x
2. Step 2: Convert to fraction form
   49,286/102,072 = 102,072/x
3. Step 3: Cross multiply
   49,286x = 102,072 × 102,072
4. Step 4: Simplify right side
   49,286x = 10,418,693,184
5. Step 5: Solve for x
   x = 10,418,693,184/49,286
6. Step 6: Final answer
   x = 211,392.55