Finding the Third Proportional to 86,690 and 116,211

Step by Step Solution

1. Step 1: Write the proportion equation
   86,690 : 116,211 = 116,211 : x
2. Step 2: Convert to fraction form
   86,690/116,211 = 116,211/x
3. Step 3: Cross multiply
   86,690x = 116,211 × 116,211
4. Step 4: Simplify right side
   86,690x = 13,504,996,521
5. Step 5: Solve for x
   x = 13,504,996,521/86,690
6. Step 6: Final answer
   x = 155,784.94