Finding the Third Proportional to 94,211.50 and 204,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,211.50 : 204,784.50 = 204,784.50 : x
2. Step 2: Convert to fraction form
   94,211.50/204,784.50 = 204,784.50/x
3. Step 3: Cross multiply
   94,211.50x = 204,784.50 × 204,784.50
4. Step 4: Simplify right side
   94,211.50x = 41,936,691,440.25
5. Step 5: Solve for x
   x = 41,936,691,440.25/94,211.50
6. Step 6: Final answer
   x = 445,133.47