Finding the Third Proportional to 40,117 and 86,930

Step by Step Solution

1. Step 1: Write the proportion equation
   40,117 : 86,930 = 86,930 : x
2. Step 2: Convert to fraction form
   40,117/86,930 = 86,930/x
3. Step 3: Cross multiply
   40,117x = 86,930 × 86,930
4. Step 4: Simplify right side
   40,117x = 7,556,824,900
5. Step 5: Solve for x
   x = 7,556,824,900/40,117
6. Step 6: Final answer
   x = 188,369.64