Finding the Third Proportional to 202,461 and 442,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,461 : 442,942.50 = 442,942.50 : x
2. Step 2: Convert to fraction form
   202,461/442,942.50 = 442,942.50/x
3. Step 3: Cross multiply
   202,461x = 442,942.50 × 442,942.50
4. Step 4: Simplify right side
   202,461x = 196,198,058,306.25
5. Step 5: Solve for x
   x = 196,198,058,306.25/202,461
6. Step 6: Final answer
   x = 969,065.94