Finding the Third Proportional to 101,736 and 212,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,736 : 212,766.75 = 212,766.75 : x
2. Step 2: Convert to fraction form
   101,736/212,766.75 = 212,766.75/x
3. Step 3: Cross multiply
   101,736x = 212,766.75 × 212,766.75
4. Step 4: Simplify right side
   101,736x = 45,269,689,905.56
5. Step 5: Solve for x
   x = 45,269,689,905.56/101,736
6. Step 6: Final answer
   x = 444,972.18