Finding the Third Proportional to 91,738.50 and 202,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,738.50 : 202,099.50 = 202,099.50 : x
2. Step 2: Convert to fraction form
   91,738.50/202,099.50 = 202,099.50/x
3. Step 3: Cross multiply
   91,738.50x = 202,099.50 × 202,099.50
4. Step 4: Simplify right side
   91,738.50x = 40,844,207,900.25
5. Step 5: Solve for x
   x = 40,844,207,900.25/91,738.50
6. Step 6: Final answer
   x = 445,224.28