Finding the Third Proportional to 90,940 and 212,406

Step by Step Solution

1. Step 1: Write the proportion equation
   90,940 : 212,406 = 212,406 : x
2. Step 2: Convert to fraction form
   90,940/212,406 = 212,406/x
3. Step 3: Cross multiply
   90,940x = 212,406 × 212,406
4. Step 4: Simplify right side
   90,940x = 45,116,308,836
5. Step 5: Solve for x
   x = 45,116,308,836/90,940
6. Step 6: Final answer
   x = 496,110.72