Finding the Third Proportional to 189,241 and 413,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,241 : 413,311.50 = 413,311.50 : x
2. Step 2: Convert to fraction form
   189,241/413,311.50 = 413,311.50/x
3. Step 3: Cross multiply
   189,241x = 413,311.50 × 413,311.50
4. Step 4: Simplify right side
   189,241x = 170,826,396,032.25
5. Step 5: Solve for x
   x = 170,826,396,032.25/189,241
6. Step 6: Final answer
   x = 902,692.31