Finding the Third Proportional to 148,493.25 and 321,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,493.25 : 321,610.50 = 321,610.50 : x
2. Step 2: Convert to fraction form
   148,493.25/321,610.50 = 321,610.50/x
3. Step 3: Cross multiply
   148,493.25x = 321,610.50 × 321,610.50
4. Step 4: Simplify right side
   148,493.25x = 103,433,313,710.25
5. Step 5: Solve for x
   x = 103,433,313,710.25/148,493.25
6. Step 6: Final answer
   x = 696,552.29