Finding the Third Proportional to 101,968 and 218,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,968 : 218,693.50 = 218,693.50 : x
2. Step 2: Convert to fraction form
   101,968/218,693.50 = 218,693.50/x
3. Step 3: Cross multiply
   101,968x = 218,693.50 × 218,693.50
4. Step 4: Simplify right side
   101,968x = 47,826,846,942.25
5. Step 5: Solve for x
   x = 47,826,846,942.25/101,968
6. Step 6: Final answer
   x = 469,037.81