Finding the Third Proportional to 97,606.50 and 213,114

Step by Step Solution

1. Step 1: Write the proportion equation
   97,606.50 : 213,114 = 213,114 : x
2. Step 2: Convert to fraction form
   97,606.50/213,114 = 213,114/x
3. Step 3: Cross multiply
   97,606.50x = 213,114 × 213,114
4. Step 4: Simplify right side
   97,606.50x = 45,417,576,996
5. Step 5: Solve for x
   x = 45,417,576,996/97,606.50
6. Step 6: Final answer
   x = 465,313.04