Finding the Third Proportional to 83,442 and 169,780

Step by Step Solution

1. Step 1: Write the proportion equation
   83,442 : 169,780 = 169,780 : x
2. Step 2: Convert to fraction form
   83,442/169,780 = 169,780/x
3. Step 3: Cross multiply
   83,442x = 169,780 × 169,780
4. Step 4: Simplify right side
   83,442x = 28,825,248,400
5. Step 5: Solve for x
   x = 28,825,248,400/83,442
6. Step 6: Final answer
   x = 345,452.51