Finding the Third Proportional to 90,598 and 213,172

Step by Step Solution

1. Step 1: Write the proportion equation
   90,598 : 213,172 = 213,172 : x
2. Step 2: Convert to fraction form
   90,598/213,172 = 213,172/x
3. Step 3: Cross multiply
   90,598x = 213,172 × 213,172
4. Step 4: Simplify right side
   90,598x = 45,442,301,584
5. Step 5: Solve for x
   x = 45,442,301,584/90,598
6. Step 6: Final answer
   x = 501,581.73