Finding the Third Proportional to 82,008 and 133,910

Step by Step Solution

1. Step 1: Write the proportion equation
   82,008 : 133,910 = 133,910 : x
2. Step 2: Convert to fraction form
   82,008/133,910 = 133,910/x
3. Step 3: Cross multiply
   82,008x = 133,910 × 133,910
4. Step 4: Simplify right side
   82,008x = 17,931,888,100
5. Step 5: Solve for x
   x = 17,931,888,100/82,008
6. Step 6: Final answer
   x = 218,660.23