Finding the Third Proportional to 78,870 and 170,856

Step by Step Solution

1. Step 1: Write the proportion equation
   78,870 : 170,856 = 170,856 : x
2. Step 2: Convert to fraction form
   78,870/170,856 = 170,856/x
3. Step 3: Cross multiply
   78,870x = 170,856 × 170,856
4. Step 4: Simplify right side
   78,870x = 29,191,772,736
5. Step 5: Solve for x
   x = 29,191,772,736/78,870
6. Step 6: Final answer
   x = 370,125.18