Finding the Third Proportional to 78,056 and 165,834

Step by Step Solution

1. Step 1: Write the proportion equation
   78,056 : 165,834 = 165,834 : x
2. Step 2: Convert to fraction form
   78,056/165,834 = 165,834/x
3. Step 3: Cross multiply
   78,056x = 165,834 × 165,834
4. Step 4: Simplify right side
   78,056x = 27,500,915,556
5. Step 5: Solve for x
   x = 27,500,915,556/78,056
6. Step 6: Final answer
   x = 352,322.89