Finding the Third Proportional to 97,276.50 and 213,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,276.50 : 213,005.25 = 213,005.25 : x
2. Step 2: Convert to fraction form
   97,276.50/213,005.25 = 213,005.25/x
3. Step 3: Cross multiply
   97,276.50x = 213,005.25 × 213,005.25
4. Step 4: Simplify right side
   97,276.50x = 45,371,236,527.56
5. Step 5: Solve for x
   x = 45,371,236,527.56/97,276.50
6. Step 6: Final answer
   x = 466,415.18