Finding the Third Proportional to 90,642 and 213,261

Step by Step Solution

1. Step 1: Write the proportion equation
   90,642 : 213,261 = 213,261 : x
2. Step 2: Convert to fraction form
   90,642/213,261 = 213,261/x
3. Step 3: Cross multiply
   90,642x = 213,261 × 213,261
4. Step 4: Simplify right side
   90,642x = 45,480,254,121
5. Step 5: Solve for x
   x = 45,480,254,121/90,642
6. Step 6: Final answer
   x = 501,756.96