Finding the Third Proportional to 89,740 and 195,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,740 : 195,780.50 = 195,780.50 : x
2. Step 2: Convert to fraction form
   89,740/195,780.50 = 195,780.50/x
3. Step 3: Cross multiply
   89,740x = 195,780.50 × 195,780.50
4. Step 4: Simplify right side
   89,740x = 38,330,004,180.25
5. Step 5: Solve for x
   x = 38,330,004,180.25/89,740
6. Step 6: Final answer
   x = 427,122.85