Finding the Third Proportional to 90,594 and 213,162

Step by Step Solution

1. Step 1: Write the proportion equation
   90,594 : 213,162 = 213,162 : x
2. Step 2: Convert to fraction form
   90,594/213,162 = 213,162/x
3. Step 3: Cross multiply
   90,594x = 213,162 × 213,162
4. Step 4: Simplify right side
   90,594x = 45,438,038,244
5. Step 5: Solve for x
   x = 45,438,038,244/90,594
6. Step 6: Final answer
   x = 501,556.82