Finding the Third Proportional to 89,542 and 196,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,542 : 196,306.50 = 196,306.50 : x
2. Step 2: Convert to fraction form
   89,542/196,306.50 = 196,306.50/x
3. Step 3: Cross multiply
   89,542x = 196,306.50 × 196,306.50
4. Step 4: Simplify right side
   89,542x = 38,536,241,942.25
5. Step 5: Solve for x
   x = 38,536,241,942.25/89,542
6. Step 6: Final answer
   x = 430,370.57