Finding the Third Proportional to 148,638 and 325,470

Step by Step Solution

1. Step 1: Write the proportion equation
   148,638 : 325,470 = 325,470 : x
2. Step 2: Convert to fraction form
   148,638/325,470 = 325,470/x
3. Step 3: Cross multiply
   148,638x = 325,470 × 325,470
4. Step 4: Simplify right side
   148,638x = 105,930,720,900
5. Step 5: Solve for x
   x = 105,930,720,900/148,638
6. Step 6: Final answer
   x = 712,675.90