Finding the Third Proportional to 42,586 and 87,906

Step by Step Solution

1. Step 1: Write the proportion equation
   42,586 : 87,906 = 87,906 : x
2. Step 2: Convert to fraction form
   42,586/87,906 = 87,906/x
3. Step 3: Cross multiply
   42,586x = 87,906 × 87,906
4. Step 4: Simplify right side
   42,586x = 7,727,464,836
5. Step 5: Solve for x
   x = 7,727,464,836/42,586
6. Step 6: Final answer
   x = 181,455.52