Finding the Third Proportional to 76,692 and 117,834

Step by Step Solution

1. Step 1: Write the proportion equation
   76,692 : 117,834 = 117,834 : x
2. Step 2: Convert to fraction form
   76,692/117,834 = 117,834/x
3. Step 3: Cross multiply
   76,692x = 117,834 × 117,834
4. Step 4: Simplify right side
   76,692x = 13,884,851,556
5. Step 5: Solve for x
   x = 13,884,851,556/76,692
6. Step 6: Final answer
   x = 181,046.94