Finding the Third Proportional to 90,641 and 213,269

Step by Step Solution

1. Step 1: Write the proportion equation
   90,641 : 213,269 = 213,269 : x
2. Step 2: Convert to fraction form
   90,641/213,269 = 213,269/x
3. Step 3: Cross multiply
   90,641x = 213,269 × 213,269
4. Step 4: Simplify right side
   90,641x = 45,483,666,361
5. Step 5: Solve for x
   x = 45,483,666,361/90,641
6. Step 6: Final answer
   x = 501,800.14