Finding the Third Proportional to 66,644 and 146,410

Step by Step Solution

1. Step 1: Write the proportion equation
   66,644 : 146,410 = 146,410 : x
2. Step 2: Convert to fraction form
   66,644/146,410 = 146,410/x
3. Step 3: Cross multiply
   66,644x = 146,410 × 146,410
4. Step 4: Simplify right side
   66,644x = 21,435,888,100
5. Step 5: Solve for x
   x = 21,435,888,100/66,644
6. Step 6: Final answer
   x = 321,647.68