Finding the Third Proportional to 82,059 and 133,983

Step by Step Solution

1. Step 1: Write the proportion equation
   82,059 : 133,983 = 133,983 : x
2. Step 2: Convert to fraction form
   82,059/133,983 = 133,983/x
3. Step 3: Cross multiply
   82,059x = 133,983 × 133,983
4. Step 4: Simplify right side
   82,059x = 17,951,444,289
5. Step 5: Solve for x
   x = 17,951,444,289/82,059
6. Step 6: Final answer
   x = 218,762.65