Finding the Third Proportional to 49,098 and 102,570

Step by Step Solution

1. Step 1: Write the proportion equation
   49,098 : 102,570 = 102,570 : x
2. Step 2: Convert to fraction form
   49,098/102,570 = 102,570/x
3. Step 3: Cross multiply
   49,098x = 102,570 × 102,570
4. Step 4: Simplify right side
   49,098x = 10,520,604,900
5. Step 5: Solve for x
   x = 10,520,604,900/49,098
6. Step 6: Final answer
   x = 214,277.67