Finding the Third Proportional to 49,092 and 101,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,092 : 101,826.75 = 101,826.75 : x
2. Step 2: Convert to fraction form
   49,092/101,826.75 = 101,826.75/x
3. Step 3: Cross multiply
   49,092x = 101,826.75 × 101,826.75
4. Step 4: Simplify right side
   49,092x = 10,368,687,015.56
5. Step 5: Solve for x
   x = 10,368,687,015.56/49,092
6. Step 6: Final answer
   x = 211,209.30