Finding the Third Proportional to 49,766.50 and 105,365

Step by Step Solution

1. Step 1: Write the proportion equation
   49,766.50 : 105,365 = 105,365 : x
2. Step 2: Convert to fraction form
   49,766.50/105,365 = 105,365/x
3. Step 3: Cross multiply
   49,766.50x = 105,365 × 105,365
4. Step 4: Simplify right side
   49,766.50x = 11,101,783,225
5. Step 5: Solve for x
   x = 11,101,783,225/49,766.50
6. Step 6: Final answer
   x = 223,077.44