Finding the Third Proportional to 40,376 and 86,896

Step by Step Solution

1. Step 1: Write the proportion equation
   40,376 : 86,896 = 86,896 : x
2. Step 2: Convert to fraction form
   40,376/86,896 = 86,896/x
3. Step 3: Cross multiply
   40,376x = 86,896 × 86,896
4. Step 4: Simplify right side
   40,376x = 7,550,914,816
5. Step 5: Solve for x
   x = 7,550,914,816/40,376
6. Step 6: Final answer
   x = 187,014.93