Finding the Third Proportional to 148,614 and 321,468

Step by Step Solution

1. Step 1: Write the proportion equation
   148,614 : 321,468 = 321,468 : x
2. Step 2: Convert to fraction form
   148,614/321,468 = 321,468/x
3. Step 3: Cross multiply
   148,614x = 321,468 × 321,468
4. Step 4: Simplify right side
   148,614x = 103,341,675,024
5. Step 5: Solve for x
   x = 103,341,675,024/148,614
6. Step 6: Final answer
   x = 695,369.72