Finding the Third Proportional to 73,847 and 152,049

Step by Step Solution

1. Step 1: Write the proportion equation
   73,847 : 152,049 = 152,049 : x
2. Step 2: Convert to fraction form
   73,847/152,049 = 152,049/x
3. Step 3: Cross multiply
   73,847x = 152,049 × 152,049
4. Step 4: Simplify right side
   73,847x = 23,118,898,401
5. Step 5: Solve for x
   x = 23,118,898,401/73,847
6. Step 6: Final answer
   x = 313,064.83