Finding the Third Proportional to 93,789 and 198,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,789 : 198,589.50 = 198,589.50 : x
2. Step 2: Convert to fraction form
   93,789/198,589.50 = 198,589.50/x
3. Step 3: Cross multiply
   93,789x = 198,589.50 × 198,589.50
4. Step 4: Simplify right side
   93,789x = 39,437,789,510.25
5. Step 5: Solve for x
   x = 39,437,789,510.25/93,789
6. Step 6: Final answer
   x = 420,494.83