Finding the Third Proportional to 49,413 and 102,120

Step by Step Solution

1. Step 1: Write the proportion equation
   49,413 : 102,120 = 102,120 : x
2. Step 2: Convert to fraction form
   49,413/102,120 = 102,120/x
3. Step 3: Cross multiply
   49,413x = 102,120 × 102,120
4. Step 4: Simplify right side
   49,413x = 10,428,494,400
5. Step 5: Solve for x
   x = 10,428,494,400/49,413
6. Step 6: Final answer
   x = 211,047.59