Finding the Third Proportional to 83,696 and 124,096

Step by Step Solution

1. Step 1: Write the proportion equation
   83,696 : 124,096 = 124,096 : x
2. Step 2: Convert to fraction form
   83,696/124,096 = 124,096/x
3. Step 3: Cross multiply
   83,696x = 124,096 × 124,096
4. Step 4: Simplify right side
   83,696x = 15,399,817,216
5. Step 5: Solve for x
   x = 15,399,817,216/83,696
6. Step 6: Final answer
   x = 183,997.05