Finding the Third Proportional to 86,880 and 188,706

Step by Step Solution

1. Step 1: Write the proportion equation
   86,880 : 188,706 = 188,706 : x
2. Step 2: Convert to fraction form
   86,880/188,706 = 188,706/x
3. Step 3: Cross multiply
   86,880x = 188,706 × 188,706
4. Step 4: Simplify right side
   86,880x = 35,609,954,436
5. Step 5: Solve for x
   x = 35,609,954,436/86,880
6. Step 6: Final answer
   x = 409,875.17