Finding the Third Proportional to 42,086 and 89,365

Step by Step Solution

1. Step 1: Write the proportion equation
   42,086 : 89,365 = 89,365 : x
2. Step 2: Convert to fraction form
   42,086/89,365 = 89,365/x
3. Step 3: Cross multiply
   42,086x = 89,365 × 89,365
4. Step 4: Simplify right side
   42,086x = 7,986,103,225
5. Step 5: Solve for x
   x = 7,986,103,225/42,086
6. Step 6: Final answer
   x = 189,756.77