Finding the Third Proportional to 148,938 and 321,204

Step by Step Solution

1. Step 1: Write the proportion equation
   148,938 : 321,204 = 321,204 : x
2. Step 2: Convert to fraction form
   148,938/321,204 = 321,204/x
3. Step 3: Cross multiply
   148,938x = 321,204 × 321,204
4. Step 4: Simplify right side
   148,938x = 103,172,009,616
5. Step 5: Solve for x
   x = 103,172,009,616/148,938
6. Step 6: Final answer
   x = 692,717.84