Finding the Third Proportional to 67,823 and 147,322

Step by Step Solution

1. Step 1: Write the proportion equation
   67,823 : 147,322 = 147,322 : x
2. Step 2: Convert to fraction form
   67,823/147,322 = 147,322/x
3. Step 3: Cross multiply
   67,823x = 147,322 × 147,322
4. Step 4: Simplify right side
   67,823x = 21,703,771,684
5. Step 5: Solve for x
   x = 21,703,771,684/67,823
6. Step 6: Final answer
   x = 320,006.07