Finding the Third Proportional to 49,141.50 and 102,171

Step by Step Solution

1. Step 1: Write the proportion equation
   49,141.50 : 102,171 = 102,171 : x
2. Step 2: Convert to fraction form
   49,141.50/102,171 = 102,171/x
3. Step 3: Cross multiply
   49,141.50x = 102,171 × 102,171
4. Step 4: Simplify right side
   49,141.50x = 10,438,913,241
5. Step 5: Solve for x
   x = 10,438,913,241/49,141.50
6. Step 6: Final answer
   x = 212,425.61