Finding the Third Proportional to 81,546 and 114,834

Step by Step Solution

1. Step 1: Write the proportion equation
   81,546 : 114,834 = 114,834 : x
2. Step 2: Convert to fraction form
   81,546/114,834 = 114,834/x
3. Step 3: Cross multiply
   81,546x = 114,834 × 114,834
4. Step 4: Simplify right side
   81,546x = 13,186,847,556
5. Step 5: Solve for x
   x = 13,186,847,556/81,546
6. Step 6: Final answer
   x = 161,710.54