Finding the Third Proportional to 214,981.50 and 300,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,981.50 : 300,682.50 = 300,682.50 : x
2. Step 2: Convert to fraction form
   214,981.50/300,682.50 = 300,682.50/x
3. Step 3: Cross multiply
   214,981.50x = 300,682.50 × 300,682.50
4. Step 4: Simplify right side
   214,981.50x = 90,409,965,806.25
5. Step 5: Solve for x
   x = 90,409,965,806.25/214,981.50
6. Step 6: Final answer
   x = 420,547.66