Finding the Third Proportional to 104,433 and 206,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,433 : 206,677.50 = 206,677.50 : x
2. Step 2: Convert to fraction form
   104,433/206,677.50 = 206,677.50/x
3. Step 3: Cross multiply
   104,433x = 206,677.50 × 206,677.50
4. Step 4: Simplify right side
   104,433x = 42,715,589,006.25
5. Step 5: Solve for x
   x = 42,715,589,006.25/104,433
6. Step 6: Final answer
   x = 409,023.86