Finding the Third Proportional to 72,268 and 113,516

Step by Step Solution

1. Step 1: Write the proportion equation
   72,268 : 113,516 = 113,516 : x
2. Step 2: Convert to fraction form
   72,268/113,516 = 113,516/x
3. Step 3: Cross multiply
   72,268x = 113,516 × 113,516
4. Step 4: Simplify right side
   72,268x = 12,885,882,256
5. Step 5: Solve for x
   x = 12,885,882,256/72,268
6. Step 6: Final answer
   x = 178,306.89