Finding the Third Proportional to 36,212 and 83,992

Step by Step Solution

1. Step 1: Write the proportion equation
   36,212 : 83,992 = 83,992 : x
2. Step 2: Convert to fraction form
   36,212/83,992 = 83,992/x
3. Step 3: Cross multiply
   36,212x = 83,992 × 83,992
4. Step 4: Simplify right side
   36,212x = 7,054,656,064
5. Step 5: Solve for x
   x = 7,054,656,064/36,212
6. Step 6: Final answer
   x = 194,815.42