Finding the Third Proportional to 40,106 and 86,908

Step by Step Solution

1. Step 1: Write the proportion equation
   40,106 : 86,908 = 86,908 : x
2. Step 2: Convert to fraction form
   40,106/86,908 = 86,908/x
3. Step 3: Cross multiply
   40,106x = 86,908 × 86,908
4. Step 4: Simplify right side
   40,106x = 7,553,000,464
5. Step 5: Solve for x
   x = 7,553,000,464/40,106
6. Step 6: Final answer
   x = 188,325.95