Finding the Third Proportional to 49,647.94 and 102,166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   49,647.94 : 102,166.31 = 102,166.31 : x
2. Step 2: Convert to fraction form
   49,647.94/102,166.31 = 102,166.31/x
3. Step 3: Cross multiply
   49,647.94x = 102,166.31 × 102,166.31
4. Step 4: Simplify right side
   49,647.94x = 10,437,955,409.85
5. Step 5: Solve for x
   x = 10,437,955,409.85/49,647.94
6. Step 6: Final answer
   x = 210,239.46