Finding the Third Proportional to 90,619 and 213,229

Step by Step Solution

1. Step 1: Write the proportion equation
   90,619 : 213,229 = 213,229 : x
2. Step 2: Convert to fraction form
   90,619/213,229 = 213,229/x
3. Step 3: Cross multiply
   90,619x = 213,229 × 213,229
4. Step 4: Simplify right side
   90,619x = 45,466,606,441
5. Step 5: Solve for x
   x = 45,466,606,441/90,619
6. Step 6: Final answer
   x = 501,733.70