Finding the Third Proportional to 93,633 and 204,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,633 : 204,784.50 = 204,784.50 : x
2. Step 2: Convert to fraction form
   93,633/204,784.50 = 204,784.50/x
3. Step 3: Cross multiply
   93,633x = 204,784.50 × 204,784.50
4. Step 4: Simplify right side
   93,633x = 41,936,691,440.25
5. Step 5: Solve for x
   x = 41,936,691,440.25/93,633
6. Step 6: Final answer
   x = 447,883.67