Finding the Third Proportional to 90,620 and 213,231

Step by Step Solution

1. Step 1: Write the proportion equation
   90,620 : 213,231 = 213,231 : x
2. Step 2: Convert to fraction form
   90,620/213,231 = 213,231/x
3. Step 3: Cross multiply
   90,620x = 213,231 × 213,231
4. Step 4: Simplify right side
   90,620x = 45,467,459,361
5. Step 5: Solve for x
   x = 45,467,459,361/90,620
6. Step 6: Final answer
   x = 501,737.58