Finding the Third Proportional to 56,786 and 120,856

Step by Step Solution

1. Step 1: Write the proportion equation
   56,786 : 120,856 = 120,856 : x
2. Step 2: Convert to fraction form
   56,786/120,856 = 120,856/x
3. Step 3: Cross multiply
   56,786x = 120,856 × 120,856
4. Step 4: Simplify right side
   56,786x = 14,606,172,736
5. Step 5: Solve for x
   x = 14,606,172,736/56,786
6. Step 6: Final answer
   x = 257,214.33