Finding the Third Proportional to 36,852 and 78,864

Step by Step Solution

1. Step 1: Write the proportion equation
   36,852 : 78,864 = 78,864 : x
2. Step 2: Convert to fraction form
   36,852/78,864 = 78,864/x
3. Step 3: Cross multiply
   36,852x = 78,864 × 78,864
4. Step 4: Simplify right side
   36,852x = 6,219,530,496
5. Step 5: Solve for x
   x = 6,219,530,496/36,852
6. Step 6: Final answer
   x = 168,770.50