Finding the Third Proportional to 93,784 and 204,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,784 : 204,788.50 = 204,788.50 : x
2. Step 2: Convert to fraction form
   93,784/204,788.50 = 204,788.50/x
3. Step 3: Cross multiply
   93,784x = 204,788.50 × 204,788.50
4. Step 4: Simplify right side
   93,784x = 41,938,329,732.25
5. Step 5: Solve for x
   x = 41,938,329,732.25/93,784
6. Step 6: Final answer
   x = 447,180.01