Finding the Third Proportional to 179,193 and 384,947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   179,193 : 384,947.25 = 384,947.25 : x
2. Step 2: Convert to fraction form
   179,193/384,947.25 = 384,947.25/x
3. Step 3: Cross multiply
   179,193x = 384,947.25 × 384,947.25
4. Step 4: Simplify right side
   179,193x = 148,184,385,282.56
5. Step 5: Solve for x
   x = 148,184,385,282.56/179,193
6. Step 6: Final answer
   x = 826,954.10