Finding the Third Proportional to 93,096 and 199,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,096 : 199,315.50 = 199,315.50 : x
2. Step 2: Convert to fraction form
   93,096/199,315.50 = 199,315.50/x
3. Step 3: Cross multiply
   93,096x = 199,315.50 × 199,315.50
4. Step 4: Simplify right side
   93,096x = 39,726,668,540.25
5. Step 5: Solve for x
   x = 39,726,668,540.25/93,096
6. Step 6: Final answer
   x = 426,727.99