Finding the Third Proportional to 148,801 and 321,124

Step by Step Solution

1. Step 1: Write the proportion equation
   148,801 : 321,124 = 321,124 : x
2. Step 2: Convert to fraction form
   148,801/321,124 = 321,124/x
3. Step 3: Cross multiply
   148,801x = 321,124 × 321,124
4. Step 4: Simplify right side
   148,801x = 103,120,623,376
5. Step 5: Solve for x
   x = 103,120,623,376/148,801
6. Step 6: Final answer
   x = 693,010.28