Finding the Third Proportional to 73,845 and 152,045

Step by Step Solution

1. Step 1: Write the proportion equation
   73,845 : 152,045 = 152,045 : x
2. Step 2: Convert to fraction form
   73,845/152,045 = 152,045/x
3. Step 3: Cross multiply
   73,845x = 152,045 × 152,045
4. Step 4: Simplify right side
   73,845x = 23,117,682,025
5. Step 5: Solve for x
   x = 23,117,682,025/73,845
6. Step 6: Final answer
   x = 313,056.84