Finding the Third Proportional to 99,584 and 150,816

Step by Step Solution

1. Step 1: Write the proportion equation
   99,584 : 150,816 = 150,816 : x
2. Step 2: Convert to fraction form
   99,584/150,816 = 150,816/x
3. Step 3: Cross multiply
   99,584x = 150,816 × 150,816
4. Step 4: Simplify right side
   99,584x = 22,745,465,856
5. Step 5: Solve for x
   x = 22,745,465,856/99,584
6. Step 6: Final answer
   x = 228,404.82