Finding the Third Proportional to 146,200.50 and 320,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,200.50 : 320,323.50 = 320,323.50 : x
2. Step 2: Convert to fraction form
   146,200.50/320,323.50 = 320,323.50/x
3. Step 3: Cross multiply
   146,200.50x = 320,323.50 × 320,323.50
4. Step 4: Simplify right side
   146,200.50x = 102,607,144,652.25
5. Step 5: Solve for x
   x = 102,607,144,652.25/146,200.50
6. Step 6: Final answer
   x = 701,824.85