Finding the Third Proportional to 146,986.50 and 321,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,986.50 : 321,985.50 = 321,985.50 : x
2. Step 2: Convert to fraction form
   146,986.50/321,985.50 = 321,985.50/x
3. Step 3: Cross multiply
   146,986.50x = 321,985.50 × 321,985.50
4. Step 4: Simplify right side
   146,986.50x = 103,674,662,210.25
5. Step 5: Solve for x
   x = 103,674,662,210.25/146,986.50
6. Step 6: Final answer
   x = 705,334.59