Finding the Third Proportional to 37,860 and 78,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 78,824 = 78,824 : x
2. Step 2: Convert to fraction form
   37,860/78,824 = 78,824/x
3. Step 3: Cross multiply
   37,860x = 78,824 × 78,824
4. Step 4: Simplify right side
   37,860x = 6,213,222,976
5. Step 5: Solve for x
   x = 6,213,222,976/37,860
6. Step 6: Final answer
   x = 164,110.49