Finding the Third Proportional to 102,396 and 212,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,396 : 212,968.50 = 212,968.50 : x
2. Step 2: Convert to fraction form
   102,396/212,968.50 = 212,968.50/x
3. Step 3: Cross multiply
   102,396x = 212,968.50 × 212,968.50
4. Step 4: Simplify right side
   102,396x = 45,355,581,992.25
5. Step 5: Solve for x
   x = 45,355,581,992.25/102,396
6. Step 6: Final answer
   x = 442,942.91