Finding the Third Proportional to 85,870 and 115,682

Step by Step Solution

1. Step 1: Write the proportion equation
   85,870 : 115,682 = 115,682 : x
2. Step 2: Convert to fraction form
   85,870/115,682 = 115,682/x
3. Step 3: Cross multiply
   85,870x = 115,682 × 115,682
4. Step 4: Simplify right side
   85,870x = 13,382,325,124
5. Step 5: Solve for x
   x = 13,382,325,124/85,870
6. Step 6: Final answer
   x = 155,844.01