Finding the Third Proportional to 219,642.50 and 298,360

Step by Step Solution

1. Step 1: Write the proportion equation
   219,642.50 : 298,360 = 298,360 : x
2. Step 2: Convert to fraction form
   219,642.50/298,360 = 298,360/x
3. Step 3: Cross multiply
   219,642.50x = 298,360 × 298,360
4. Step 4: Simplify right side
   219,642.50x = 89,018,689,600
5. Step 5: Solve for x
   x = 89,018,689,600/219,642.50
6. Step 6: Final answer
   x = 405,289.00