Finding the Third Proportional to 89,973.50 and 196,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,973.50 : 196,896.50 = 196,896.50 : x
2. Step 2: Convert to fraction form
   89,973.50/196,896.50 = 196,896.50/x
3. Step 3: Cross multiply
   89,973.50x = 196,896.50 × 196,896.50
4. Step 4: Simplify right side
   89,973.50x = 38,768,231,712.25
5. Step 5: Solve for x
   x = 38,768,231,712.25/89,973.50
6. Step 6: Final answer
   x = 430,885.00