Finding the Third Proportional to 99,826 and 150,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,826 : 150,778.50 = 150,778.50 : x
2. Step 2: Convert to fraction form
   99,826/150,778.50 = 150,778.50/x
3. Step 3: Cross multiply
   99,826x = 150,778.50 × 150,778.50
4. Step 4: Simplify right side
   99,826x = 22,734,156,062.25
5. Step 5: Solve for x
   x = 22,734,156,062.25/99,826
6. Step 6: Final answer
   x = 227,737.82