Finding the Third Proportional to 37,256 and 78,816

Step by Step Solution

1. Step 1: Write the proportion equation
   37,256 : 78,816 = 78,816 : x
2. Step 2: Convert to fraction form
   37,256/78,816 = 78,816/x
3. Step 3: Cross multiply
   37,256x = 78,816 × 78,816
4. Step 4: Simplify right side
   37,256x = 6,211,961,856
5. Step 5: Solve for x
   x = 6,211,961,856/37,256
6. Step 6: Final answer
   x = 166,737.22