Finding the Third Proportional to 219,607.50 and 321,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,607.50 : 321,034.50 = 321,034.50 : x
2. Step 2: Convert to fraction form
   219,607.50/321,034.50 = 321,034.50/x
3. Step 3: Cross multiply
   219,607.50x = 321,034.50 × 321,034.50
4. Step 4: Simplify right side
   219,607.50x = 103,063,150,190.25
5. Step 5: Solve for x
   x = 103,063,150,190.25/219,607.50
6. Step 6: Final answer
   x = 469,306.15