Finding the Third Proportional to 88,785 and 188,586

Step by Step Solution

1. Step 1: Write the proportion equation
   88,785 : 188,586 = 188,586 : x
2. Step 2: Convert to fraction form
   88,785/188,586 = 188,586/x
3. Step 3: Cross multiply
   88,785x = 188,586 × 188,586
4. Step 4: Simplify right side
   88,785x = 35,564,679,396
5. Step 5: Solve for x
   x = 35,564,679,396/88,785
6. Step 6: Final answer
   x = 400,570.81