Finding the Third Proportional to 146,692 and 321,434

Step by Step Solution

1. Step 1: Write the proportion equation
   146,692 : 321,434 = 321,434 : x
2. Step 2: Convert to fraction form
   146,692/321,434 = 321,434/x
3. Step 3: Cross multiply
   146,692x = 321,434 × 321,434
4. Step 4: Simplify right side
   146,692x = 103,319,816,356
5. Step 5: Solve for x
   x = 103,319,816,356/146,692
6. Step 6: Final answer
   x = 704,331.64