Finding the Third Proportional to 100,823 and 152,045

Step by Step Solution

1. Step 1: Write the proportion equation
   100,823 : 152,045 = 152,045 : x
2. Step 2: Convert to fraction form
   100,823/152,045 = 152,045/x
3. Step 3: Cross multiply
   100,823x = 152,045 × 152,045
4. Step 4: Simplify right side
   100,823x = 23,117,682,025
5. Step 5: Solve for x
   x = 23,117,682,025/100,823
6. Step 6: Final answer
   x = 229,289.77