Finding the Third Proportional to 69,738 and 110,834

Step by Step Solution

1. Step 1: Write the proportion equation
   69,738 : 110,834 = 110,834 : x
2. Step 2: Convert to fraction form
   69,738/110,834 = 110,834/x
3. Step 3: Cross multiply
   69,738x = 110,834 × 110,834
4. Step 4: Simplify right side
   69,738x = 12,284,175,556
5. Step 5: Solve for x
   x = 12,284,175,556/69,738
6. Step 6: Final answer
   x = 176,147.52