Finding the Third Proportional to 56,791 and 120,500

Step by Step Solution

1. Step 1: Write the proportion equation
   56,791 : 120,500 = 120,500 : x
2. Step 2: Convert to fraction form
   56,791/120,500 = 120,500/x
3. Step 3: Cross multiply
   56,791x = 120,500 × 120,500
4. Step 4: Simplify right side
   56,791x = 14,520,250,000
5. Step 5: Solve for x
   x = 14,520,250,000/56,791
6. Step 6: Final answer
   x = 255,678.72