Finding the Third Proportional to 49,582 and 101,805

Step by Step Solution

1. Step 1: Write the proportion equation
   49,582 : 101,805 = 101,805 : x
2. Step 2: Convert to fraction form
   49,582/101,805 = 101,805/x
3. Step 3: Cross multiply
   49,582x = 101,805 × 101,805
4. Step 4: Simplify right side
   49,582x = 10,364,258,025
5. Step 5: Solve for x
   x = 10,364,258,025/49,582
6. Step 6: Final answer
   x = 209,032.67