Finding the Third Proportional to 86,258 and 188,554

Step by Step Solution

1. Step 1: Write the proportion equation
   86,258 : 188,554 = 188,554 : x
2. Step 2: Convert to fraction form
   86,258/188,554 = 188,554/x
3. Step 3: Cross multiply
   86,258x = 188,554 × 188,554
4. Step 4: Simplify right side
   86,258x = 35,552,610,916
5. Step 5: Solve for x
   x = 35,552,610,916/86,258
6. Step 6: Final answer
   x = 412,165.95