Finding the Third Proportional to 94,813 and 204,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,813 : 204,809.50 = 204,809.50 : x
2. Step 2: Convert to fraction form
   94,813/204,809.50 = 204,809.50/x
3. Step 3: Cross multiply
   94,813x = 204,809.50 × 204,809.50
4. Step 4: Simplify right side
   94,813x = 41,946,931,290.25
5. Step 5: Solve for x
   x = 41,946,931,290.25/94,813
6. Step 6: Final answer
   x = 442,417.51