Finding the Third Proportional to 34,870 and 82,306

Step by Step Solution

1. Step 1: Write the proportion equation
   34,870 : 82,306 = 82,306 : x
2. Step 2: Convert to fraction form
   34,870/82,306 = 82,306/x
3. Step 3: Cross multiply
   34,870x = 82,306 × 82,306
4. Step 4: Simplify right side
   34,870x = 6,774,277,636
5. Step 5: Solve for x
   x = 6,774,277,636/34,870
6. Step 6: Final answer
   x = 194,272.37