Finding the Third Proportional to 83,666 and 179,464

Step by Step Solution

1. Step 1: Write the proportion equation
   83,666 : 179,464 = 179,464 : x
2. Step 2: Convert to fraction form
   83,666/179,464 = 179,464/x
3. Step 3: Cross multiply
   83,666x = 179,464 × 179,464
4. Step 4: Simplify right side
   83,666x = 32,207,327,296
5. Step 5: Solve for x
   x = 32,207,327,296/83,666
6. Step 6: Final answer
   x = 384,951.20