Finding the Third Proportional to 100,976.50 and 212,399

Step by Step Solution

1. Step 1: Write the proportion equation
   100,976.50 : 212,399 = 212,399 : x
2. Step 2: Convert to fraction form
   100,976.50/212,399 = 212,399/x
3. Step 3: Cross multiply
   100,976.50x = 212,399 × 212,399
4. Step 4: Simplify right side
   100,976.50x = 45,113,335,201
5. Step 5: Solve for x
   x = 45,113,335,201/100,976.50
6. Step 6: Final answer
   x = 446,770.64