Finding the Third Proportional to 78,914 and 106,322

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914 : 106,322 = 106,322 : x
2. Step 2: Convert to fraction form
   78,914/106,322 = 106,322/x
3. Step 3: Cross multiply
   78,914x = 106,322 × 106,322
4. Step 4: Simplify right side
   78,914x = 11,304,367,684
5. Step 5: Solve for x
   x = 11,304,367,684/78,914
6. Step 6: Final answer
   x = 143,249.20