Finding the Third Proportional to 82,027 and 133,940

Step by Step Solution

1. Step 1: Write the proportion equation
   82,027 : 133,940 = 133,940 : x
2. Step 2: Convert to fraction form
   82,027/133,940 = 133,940/x
3. Step 3: Cross multiply
   82,027x = 133,940 × 133,940
4. Step 4: Simplify right side
   82,027x = 17,939,923,600
5. Step 5: Solve for x
   x = 17,939,923,600/82,027
6. Step 6: Final answer
   x = 218,707.54