Finding the Third Proportional to 99,826.50 and 150,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   99,826.50 : 150,779.25 = 150,779.25 : x
2. Step 2: Convert to fraction form
   99,826.50/150,779.25 = 150,779.25/x
3. Step 3: Cross multiply
   99,826.50x = 150,779.25 × 150,779.25
4. Step 4: Simplify right side
   99,826.50x = 22,734,382,230.56
5. Step 5: Solve for x
   x = 22,734,382,230.56/99,826.50
6. Step 6: Final answer
   x = 227,738.95