Finding the Third Proportional to 40,938 and 86,224

Step by Step Solution

1. Step 1: Write the proportion equation
   40,938 : 86,224 = 86,224 : x
2. Step 2: Convert to fraction form
   40,938/86,224 = 86,224/x
3. Step 3: Cross multiply
   40,938x = 86,224 × 86,224
4. Step 4: Simplify right side
   40,938x = 7,434,578,176
5. Step 5: Solve for x
   x = 7,434,578,176/40,938
6. Step 6: Final answer
   x = 181,605.80