Finding the Third Proportional to 96,938 and 202,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,938 : 202,704.50 = 202,704.50 : x
2. Step 2: Convert to fraction form
   96,938/202,704.50 = 202,704.50/x
3. Step 3: Cross multiply
   96,938x = 202,704.50 × 202,704.50
4. Step 4: Simplify right side
   96,938x = 41,089,114,320.25
5. Step 5: Solve for x
   x = 41,089,114,320.25/96,938
6. Step 6: Final answer
   x = 423,870.04