Finding the Third Proportional to 83,462 and 179,068

Step by Step Solution

1. Step 1: Write the proportion equation
   83,462 : 179,068 = 179,068 : x
2. Step 2: Convert to fraction form
   83,462/179,068 = 179,068/x
3. Step 3: Cross multiply
   83,462x = 179,068 × 179,068
4. Step 4: Simplify right side
   83,462x = 32,065,348,624
5. Step 5: Solve for x
   x = 32,065,348,624/83,462
6. Step 6: Final answer
   x = 384,190.99