Finding the Third Proportional to 210,664.50 and 298,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,664.50 : 298,084.50 = 298,084.50 : x
2. Step 2: Convert to fraction form
   210,664.50/298,084.50 = 298,084.50/x
3. Step 3: Cross multiply
   210,664.50x = 298,084.50 × 298,084.50
4. Step 4: Simplify right side
   210,664.50x = 88,854,369,140.25
5. Step 5: Solve for x
   x = 88,854,369,140.25/210,664.50
6. Step 6: Final answer
   x = 421,781.41