Finding the Third Proportional to 65,846 and 102,112

Step by Step Solution

1. Step 1: Write the proportion equation
   65,846 : 102,112 = 102,112 : x
2. Step 2: Convert to fraction form
   65,846/102,112 = 102,112/x
3. Step 3: Cross multiply
   65,846x = 102,112 × 102,112
4. Step 4: Simplify right side
   65,846x = 10,426,860,544
5. Step 5: Solve for x
   x = 10,426,860,544/65,846
6. Step 6: Final answer
   x = 158,352.22