Finding the Third Proportional to 148,570 and 325,314

Step by Step Solution

1. Step 1: Write the proportion equation
   148,570 : 325,314 = 325,314 : x
2. Step 2: Convert to fraction form
   148,570/325,314 = 325,314/x
3. Step 3: Cross multiply
   148,570x = 325,314 × 325,314
4. Step 4: Simplify right side
   148,570x = 105,829,198,596
5. Step 5: Solve for x
   x = 105,829,198,596/148,570
6. Step 6: Final answer
   x = 712,318.76