Finding the Third Proportional to 127,854 and 198,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,854 : 198,508.50 = 198,508.50 : x
2. Step 2: Convert to fraction form
   127,854/198,508.50 = 198,508.50/x
3. Step 3: Cross multiply
   127,854x = 198,508.50 × 198,508.50
4. Step 4: Simplify right side
   127,854x = 39,405,624,572.25
5. Step 5: Solve for x
   x = 39,405,624,572.25/127,854
6. Step 6: Final answer
   x = 308,207.99