Finding the Third Proportional to 86,514 and 185,968

Step by Step Solution

1. Step 1: Write the proportion equation
   86,514 : 185,968 = 185,968 : x
2. Step 2: Convert to fraction form
   86,514/185,968 = 185,968/x
3. Step 3: Cross multiply
   86,514x = 185,968 × 185,968
4. Step 4: Simplify right side
   86,514x = 34,584,097,024
5. Step 5: Solve for x
   x = 34,584,097,024/86,514
6. Step 6: Final answer
   x = 399,751.45