Finding the Third Proportional to 52,384 and 102,112

Step by Step Solution

1. Step 1: Write the proportion equation
   52,384 : 102,112 = 102,112 : x
2. Step 2: Convert to fraction form
   52,384/102,112 = 102,112/x
3. Step 3: Cross multiply
   52,384x = 102,112 × 102,112
4. Step 4: Simplify right side
   52,384x = 10,426,860,544
5. Step 5: Solve for x
   x = 10,426,860,544/52,384
6. Step 6: Final answer
   x = 199,046.67