Finding the Third Proportional to 92,796.75 and 206,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,796.75 : 206,842.50 = 206,842.50 : x
2. Step 2: Convert to fraction form
   92,796.75/206,842.50 = 206,842.50/x
3. Step 3: Cross multiply
   92,796.75x = 206,842.50 × 206,842.50
4. Step 4: Simplify right side
   92,796.75x = 42,783,819,806.25
5. Step 5: Solve for x
   x = 42,783,819,806.25/92,796.75
6. Step 6: Final answer
   x = 461,048.69