Finding the Third Proportional to 56,146 and 120,788

Step by Step Solution

1. Step 1: Write the proportion equation
   56,146 : 120,788 = 120,788 : x
2. Step 2: Convert to fraction form
   56,146/120,788 = 120,788/x
3. Step 3: Cross multiply
   56,146x = 120,788 × 120,788
4. Step 4: Simplify right side
   56,146x = 14,589,740,944
5. Step 5: Solve for x
   x = 14,589,740,944/56,146
6. Step 6: Final answer
   x = 259,853.61