Finding the Third Proportional to 40,225 and 86,614

Step by Step Solution

1. Step 1: Write the proportion equation
   40,225 : 86,614 = 86,614 : x
2. Step 2: Convert to fraction form
   40,225/86,614 = 86,614/x
3. Step 3: Cross multiply
   40,225x = 86,614 × 86,614
4. Step 4: Simplify right side
   40,225x = 7,501,984,996
5. Step 5: Solve for x
   x = 7,501,984,996/40,225
6. Step 6: Final answer
   x = 186,500.56