Finding the Third Proportional to 56,142 and 122,834

Step by Step Solution

1. Step 1: Write the proportion equation
   56,142 : 122,834 = 122,834 : x
2. Step 2: Convert to fraction form
   56,142/122,834 = 122,834/x
3. Step 3: Cross multiply
   56,142x = 122,834 × 122,834
4. Step 4: Simplify right side
   56,142x = 15,088,191,556
5. Step 5: Solve for x
   x = 15,088,191,556/56,142
6. Step 6: Final answer
   x = 268,750.52