Finding the Third Proportional to 78,588 and 160,807

Step by Step Solution

1. Step 1: Write the proportion equation
   78,588 : 160,807 = 160,807 : x
2. Step 2: Convert to fraction form
   78,588/160,807 = 160,807/x
3. Step 3: Cross multiply
   78,588x = 160,807 × 160,807
4. Step 4: Simplify right side
   78,588x = 25,858,891,249
5. Step 5: Solve for x
   x = 25,858,891,249/78,588
6. Step 6: Final answer
   x = 329,043.76