Finding the Third Proportional to 90,590 and 213,153

Step by Step Solution

1. Step 1: Write the proportion equation
   90,590 : 213,153 = 213,153 : x
2. Step 2: Convert to fraction form
   90,590/213,153 = 213,153/x
3. Step 3: Cross multiply
   90,590x = 213,153 × 213,153
4. Step 4: Simplify right side
   90,590x = 45,434,201,409
5. Step 5: Solve for x
   x = 45,434,201,409/90,590
6. Step 6: Final answer
   x = 501,536.61