Finding the Third Proportional to 57,839 and 78,796

Step by Step Solution

1. Step 1: Write the proportion equation
   57,839 : 78,796 = 78,796 : x
2. Step 2: Convert to fraction form
   57,839/78,796 = 78,796/x
3. Step 3: Cross multiply
   57,839x = 78,796 × 78,796
4. Step 4: Simplify right side
   57,839x = 6,208,809,616
5. Step 5: Solve for x
   x = 6,208,809,616/57,839
6. Step 6: Final answer
   x = 107,346.42