Finding the Third Proportional to 89,982.50 and 208,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982.50 : 208,315.25 = 208,315.25 : x
2. Step 2: Convert to fraction form
   89,982.50/208,315.25 = 208,315.25/x
3. Step 3: Cross multiply
   89,982.50x = 208,315.25 × 208,315.25
4. Step 4: Simplify right side
   89,982.50x = 43,395,243,382.56
5. Step 5: Solve for x
   x = 43,395,243,382.56/89,982.50
6. Step 6: Final answer
   x = 482,263.14