Finding the Third Proportional to 99,827 and 150,780

Step by Step Solution

1. Step 1: Write the proportion equation
   99,827 : 150,780 = 150,780 : x
2. Step 2: Convert to fraction form
   99,827/150,780 = 150,780/x
3. Step 3: Cross multiply
   99,827x = 150,780 × 150,780
4. Step 4: Simplify right side
   99,827x = 22,734,608,400
5. Step 5: Solve for x
   x = 22,734,608,400/99,827
6. Step 6: Final answer
   x = 227,740.07