Finding the Third Proportional to 72,256 and 106,290

Step by Step Solution

1. Step 1: Write the proportion equation
   72,256 : 106,290 = 106,290 : x
2. Step 2: Convert to fraction form
   72,256/106,290 = 106,290/x
3. Step 3: Cross multiply
   72,256x = 106,290 × 106,290
4. Step 4: Simplify right side
   72,256x = 11,297,564,100
5. Step 5: Solve for x
   x = 11,297,564,100/72,256
6. Step 6: Final answer
   x = 156,354.68