Finding the Third Proportional to 97,576 and 213,002

Step by Step Solution

1. Step 1: Write the proportion equation
   97,576 : 213,002 = 213,002 : x
2. Step 2: Convert to fraction form
   97,576/213,002 = 213,002/x
3. Step 3: Cross multiply
   97,576x = 213,002 × 213,002
4. Step 4: Simplify right side
   97,576x = 45,369,852,004
5. Step 5: Solve for x
   x = 45,369,852,004/97,576
6. Step 6: Final answer
   x = 464,969.38