Finding the Third Proportional to 141,575 and 213,456

Step by Step Solution

1. Step 1: Write the proportion equation
   141,575 : 213,456 = 213,456 : x
2. Step 2: Convert to fraction form
   141,575/213,456 = 213,456/x
3. Step 3: Cross multiply
   141,575x = 213,456 × 213,456
4. Step 4: Simplify right side
   141,575x = 45,563,463,936
5. Step 5: Solve for x
   x = 45,563,463,936/141,575
6. Step 6: Final answer
   x = 321,832.70