Finding the Third Proportional to 100,821 and 152,041

Step by Step Solution

1. Step 1: Write the proportion equation
   100,821 : 152,041 = 152,041 : x
2. Step 2: Convert to fraction form
   100,821/152,041 = 152,041/x
3. Step 3: Cross multiply
   100,821x = 152,041 × 152,041
4. Step 4: Simplify right side
   100,821x = 23,116,465,681
5. Step 5: Solve for x
   x = 23,116,465,681/100,821
6. Step 6: Final answer
   x = 229,282.25