Finding the Third Proportional to 45,696 and 100,302

Step by Step Solution

1. Step 1: Write the proportion equation
   45,696 : 100,302 = 100,302 : x
2. Step 2: Convert to fraction form
   45,696/100,302 = 100,302/x
3. Step 3: Cross multiply
   45,696x = 100,302 × 100,302
4. Step 4: Simplify right side
   45,696x = 10,060,491,204
5. Step 5: Solve for x
   x = 10,060,491,204/45,696
6. Step 6: Final answer
   x = 220,161.31