Finding the Third Proportional to 71,896 and 105,270

Step by Step Solution

1. Step 1: Write the proportion equation
   71,896 : 105,270 = 105,270 : x
2. Step 2: Convert to fraction form
   71,896/105,270 = 105,270/x
3. Step 3: Cross multiply
   71,896x = 105,270 × 105,270
4. Step 4: Simplify right side
   71,896x = 11,081,772,900
5. Step 5: Solve for x
   x = 11,081,772,900/71,896
6. Step 6: Final answer
   x = 154,136.15