Finding the Third Proportional to 85,448.25 and 186,978.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85,448.25 : 186,978.38 = 186,978.38 : x
2. Step 2: Convert to fraction form
   85,448.25/186,978.38 = 186,978.38/x
3. Step 3: Cross multiply
   85,448.25x = 186,978.38 × 186,978.38
4. Step 4: Simplify right side
   85,448.25x = 34,960,912,717.64
5. Step 5: Solve for x
   x = 34,960,912,717.64/85,448.25
6. Step 6: Final answer
   x = 409,147.21