Finding the Third Proportional to 63,204 and 146,322

Step by Step Solution

1. Step 1: Write the proportion equation
   63,204 : 146,322 = 146,322 : x
2. Step 2: Convert to fraction form
   63,204/146,322 = 146,322/x
3. Step 3: Cross multiply
   63,204x = 146,322 × 146,322
4. Step 4: Simplify right side
   63,204x = 21,410,127,684
5. Step 5: Solve for x
   x = 21,410,127,684/63,204
6. Step 6: Final answer
   x = 338,746.40