Finding the Third Proportional to 94,344.75 and 206,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,344.75 : 206,185.50 = 206,185.50 : x
2. Step 2: Convert to fraction form
   94,344.75/206,185.50 = 206,185.50/x
3. Step 3: Cross multiply
   94,344.75x = 206,185.50 × 206,185.50
4. Step 4: Simplify right side
   94,344.75x = 42,512,460,410.25
5. Step 5: Solve for x
   x = 42,512,460,410.25/94,344.75
6. Step 6: Final answer
   x = 450,607.59