Finding the Third Proportional to 102,775.50 and 208,386

Step by Step Solution

1. Step 1: Write the proportion equation
   102,775.50 : 208,386 = 208,386 : x
2. Step 2: Convert to fraction form
   102,775.50/208,386 = 208,386/x
3. Step 3: Cross multiply
   102,775.50x = 208,386 × 208,386
4. Step 4: Simplify right side
   102,775.50x = 43,424,724,996
5. Step 5: Solve for x
   x = 43,424,724,996/102,775.50
6. Step 6: Final answer
   x = 422,520.20