Finding the Third Proportional to 93,645 and 204,806.25

Step by Step Solution

1. Step 1: Write the proportion equation
   93,645 : 204,806.25 = 204,806.25 : x
2. Step 2: Convert to fraction form
   93,645/204,806.25 = 204,806.25/x
3. Step 3: Cross multiply
   93,645x = 204,806.25 × 204,806.25
4. Step 4: Simplify right side
   93,645x = 41,945,600,039.06
5. Step 5: Solve for x
   x = 41,945,600,039.06/93,645
6. Step 6: Final answer
   x = 447,921.41