Finding the Third Proportional to 56,341 and 120,680

Step by Step Solution

1. Step 1: Write the proportion equation
   56,341 : 120,680 = 120,680 : x
2. Step 2: Convert to fraction form
   56,341/120,680 = 120,680/x
3. Step 3: Cross multiply
   56,341x = 120,680 × 120,680
4. Step 4: Simplify right side
   56,341x = 14,563,662,400
5. Step 5: Solve for x
   x = 14,563,662,400/56,341
6. Step 6: Final answer
   x = 258,491.37