Finding the Third Proportional to 97,288.50 and 213,030

Step by Step Solution

1. Step 1: Write the proportion equation
   97,288.50 : 213,030 = 213,030 : x
2. Step 2: Convert to fraction form
   97,288.50/213,030 = 213,030/x
3. Step 3: Cross multiply
   97,288.50x = 213,030 × 213,030
4. Step 4: Simplify right side
   97,288.50x = 45,381,780,900
5. Step 5: Solve for x
   x = 45,381,780,900/97,288.50
6. Step 6: Final answer
   x = 466,466.04