Finding the Third Proportional to 40,680 and 83,870

Step by Step Solution

1. Step 1: Write the proportion equation
   40,680 : 83,870 = 83,870 : x
2. Step 2: Convert to fraction form
   40,680/83,870 = 83,870/x
3. Step 3: Cross multiply
   40,680x = 83,870 × 83,870
4. Step 4: Simplify right side
   40,680x = 7,034,176,900
5. Step 5: Solve for x
   x = 7,034,176,900/40,680
6. Step 6: Final answer
   x = 172,914.87