Finding the Third Proportional to 219,627 and 298,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,627 : 298,327.50 = 298,327.50 : x
2. Step 2: Convert to fraction form
   219,627/298,327.50 = 298,327.50/x
3. Step 3: Cross multiply
   219,627x = 298,327.50 × 298,327.50
4. Step 4: Simplify right side
   219,627x = 88,999,297,256.25
5. Step 5: Solve for x
   x = 88,999,297,256.25/219,627
6. Step 6: Final answer
   x = 405,229.31