Finding the Third Proportional to 79,338 and 116,820

Step by Step Solution

1. Step 1: Write the proportion equation
   79,338 : 116,820 = 116,820 : x
2. Step 2: Convert to fraction form
   79,338/116,820 = 116,820/x
3. Step 3: Cross multiply
   79,338x = 116,820 × 116,820
4. Step 4: Simplify right side
   79,338x = 13,646,912,400
5. Step 5: Solve for x
   x = 13,646,912,400/79,338
6. Step 6: Final answer
   x = 172,009.79