Finding the Third Proportional to 50,320 and 102,825

Step by Step Solution

1. Step 1: Write the proportion equation
   50,320 : 102,825 = 102,825 : x
2. Step 2: Convert to fraction form
   50,320/102,825 = 102,825/x
3. Step 3: Cross multiply
   50,320x = 102,825 × 102,825
4. Step 4: Simplify right side
   50,320x = 10,572,980,625
5. Step 5: Solve for x
   x = 10,572,980,625/50,320
6. Step 6: Final answer
   x = 210,114.88