Finding the Third Proportional to 83,096 and 116,598

Step by Step Solution

1. Step 1: Write the proportion equation
   83,096 : 116,598 = 116,598 : x
2. Step 2: Convert to fraction form
   83,096/116,598 = 116,598/x
3. Step 3: Cross multiply
   83,096x = 116,598 × 116,598
4. Step 4: Simplify right side
   83,096x = 13,595,093,604
5. Step 5: Solve for x
   x = 13,595,093,604/83,096
6. Step 6: Final answer
   x = 163,607.08