Finding the Third Proportional to 86,188 and 182,810

Step by Step Solution

1. Step 1: Write the proportion equation
   86,188 : 182,810 = 182,810 : x
2. Step 2: Convert to fraction form
   86,188/182,810 = 182,810/x
3. Step 3: Cross multiply
   86,188x = 182,810 × 182,810
4. Step 4: Simplify right side
   86,188x = 33,419,496,100
5. Step 5: Solve for x
   x = 33,419,496,100/86,188
6. Step 6: Final answer
   x = 387,751.15