Finding the Third Proportional to 40,116 and 86,928

Step by Step Solution

1. Step 1: Write the proportion equation
   40,116 : 86,928 = 86,928 : x
2. Step 2: Convert to fraction form
   40,116/86,928 = 86,928/x
3. Step 3: Cross multiply
   40,116x = 86,928 × 86,928
4. Step 4: Simplify right side
   40,116x = 7,556,477,184
5. Step 5: Solve for x
   x = 7,556,477,184/40,116
6. Step 6: Final answer
   x = 188,365.67